Question: What river does Beaver and Erie Canal and Louisville and Portland Canal have in common?

Context paragraphs:
Erie Canal Lock 52 Complex: Erie Canal Lock 52 Complex is a national historic district located at Port Byron and Mentz in Cayuga County, New York.  The district includes two contributing buildings (the Erie House and the blacksmith shop / mule barn); three contributing engineering structures (Erie Canal Lock 52, culvert, and canal prism of the enlarged Erie Canal); and archaeological sites associated with the canal operations.  Lock 52 was constructed 1849-1853 as part of the Enlarged Erie Canal program.  It remained in operation until the rerouting of the canal under the New York State Barge Canal System in 1917.  The Erie House was built in 1894 and is a two story frame structure that housed a saloon and hotel.

Tinkers Creek Aqueduct: Tinkers Creek Aqueduct is an aqueduct that was constructed to bridge the Ohio and Erie Canal over Tinkers Creek near its confluence with the Cuyahoga River in Valley View, Ohio.  It is a relatively rare surviving example of an Ohio and Erie Canal aqueduct.  It was originally constructed in 1825-1827 by, and re-built due to flood damage in 1845 and 1905.  Tinkers Creek Aqueduct was included in a National Historic Landmark district established in 1966, and it was separately listed on the National Register of Historic Places in 1979.  The original Tinkers Creek Aqueduct was a wood plank, steel truss, and Ashlar-sandstone structure constructed in 1827, south of the present aqueduct's location.  Cuyahoga River and Tinkers Creek flooding caused continual damage to the original aqueduct, so successive structures were built in 1845 and 1905 in the present location.  Today, Tinkers Creek Aqueduct is the only aqueduct which remains of the four original aqueducts in the Cuyahoga Valley.  Of Furnace Run Aqueduct, Mill Creek Aqueduct, Peninsula Aqueduct, and (?  Yellow Creek ?)  Aqueduct; Mill Creek Aqueduct, of newer construction, is the only aqueduct which still carries Ohio and Erie Canal water.  After 102 years of flooding, weathering, and deterioration, Tinkers Creek Aqueduct was removed in 2007.  The National Park Service is currently working on Phase II of the project to reconstruct it from newer materials.

Low Bridge (song): The popular song "Low Bridge, Everybody Down" was written in 1905 by Thomas S. Allen after Erie Canal barge traffic was converted from mule power to engine power, raising the speed of traffic.  Also known as "Fifteen Years on the Erie Canal", "Fifteen Miles on the Erie Canal", "Erie Canal Song", and "Mule Named Sal", the song memorializes the years from 1825 to 1880 when the mule barges made boomtowns out of Utica, Rome, Syracuse, Rochester, and Buffalo, and transformed New York into the Empire State.  The tune is sadly nostalgic.

Schoharie Crossing State Historic Site: Schoharie Crossing State Historic Site, also known as Erie Canal National Historic Landmark, is a historic district that includes the ruins of the Erie Canal aqueduct over Schoharie Creek, and a 3.5 mi long part of the Erie Canal, in the towns of Glen and Florida within Montgomery County, New York.  It was the first part of the old canal to be designated a National Historic Landmark, prior to the designation of the entire New York State Barge Canal as a NHL in 2017.

Indiana Central Canal: The Indiana Central Canal was a canal intended to connect the Wabash and Erie Canal to the Ohio River.  It was funded by the Mammoth Internal Improvement Act, Indiana's attempt to take part in the canal-building craze, started by the Erie Canal.  $3.5 million was allocated for the project, the largest piece of the entire $10 million Act.  However, due to the Panic of 1837, Indiana suffered financial difficulties and had to turn over the canal to the state's creditors, and building of the canal was stopped in 1839.  The canal was supposed to extend 296 mi , from Peru, Indiana, to Evansville, Indiana, where it would reach the Ohio River.  It was originally divided into two sections, North and South.  Later, a third section was designated, called the Indianapolis section.  Only eight miles were completed, with eighty additional miles between Anderson, Indiana, and Martinsville, Indiana, having been partially built.

Beaver and Erie Canal: The Beaver and Erie Canal, also known as the Erie Extension Canal, was part of the Pennsylvania Canal system and consisted of three sections: the Beaver Division, the Shenango Division, and the Conneaut Division.  The canal ran 136 mi north–south near the western edge of the state from the Ohio River to Lake Erie through Beaver County, Lawrence County, Mercer County, Crawford County, and Erie County, Pennsylvania.

Observatory Inlet: Observatory Inlet is an inlet on the North Coast of British Columbia.  It is a northward extension of Portland Inlet, other sidewaters of which include the Portland Canal.  The entrance of Observatory Inlet, from Portland Inlet, lies between Ramsden Point and Nass Point.  Ramsden Point also marks, to the west, the entrance of Portland Canal.  Observatory Inlet was named by George Vancouver in 1793, because he set up his observatory on the shore of the inlet, at Salmon Cove, in order to calibrate his chronometers.  His two vessels, HMS "Discovery" and HMS "Chatham", stayed in Salmon Cove from July 23 to August 17, 1793.  During this time a boat surveying expedition under Vancouver himself explored Behm Canal.  Vancouver also named three headlands at the entrance of Observatory Inlet: Maskelyne Point, for Nevil Maskelyne, the Astronomer Royal, Wales Point, for William Wales, the mathematical master who sailed with James Cook, and Ramsden Point, after the famed mathematical instrument-maker Jesse Ramsden.

Walhonding Canal: The Walhonding Canal was a canal in Coshocton County, Ohio that was used as a feeder canal for the Ohio and Erie Canal.  A small canal, at only 25 mi long, it was wholly contained within Coshocton County, following the Mohican River from Cavallo south to the confluence with the Kokosing River, which together with the Mohican forms the Walhonding River.  The canal followed the Walhonding River southeast toward Coshocton where it met the Ohio and Erie Canal in Roscoe Village.

Pennsylvania and Ohio Canal: The Pennsylvania and Ohio Canal, also known as the P & O Canal, the Cross Cut Canal and the Mahoning Canal was a shipping canal which operated from 1840 until 1877 (though the canal was completely abandoned by 1872).  It was unique in that it served to connect canals in two states (the Ohio and Erie Canal in Ohio and the Beaver and Erie Canal in Pennsylvania) and was funded by private interests.

Louisville and Portland Canal: The Louisville and Portland Canal was a 2 mi canal bypassing the Falls of the Ohio River at Louisville, Kentucky.  The Falls form the only barrier to navigation between the origin of the Ohio at Pittsburgh and the port of New Orleans on the Gulf of Mexico; circumventing them was long a goal for Pennsylvanian and Cincinnatian merchants.  The canal opened in 1830 as the private Louisville and Portland Canal Company but was gradually bought out during the 19th century by the federal government, which had invested heavily in its construction, maintenance, and improvement.  The Louisville and Portland Canal became the McAlpine Locks and Dam in 1962 after extensive modernization.

Supporting paragraphs: Beaver and Erie Canal Louisville and Portland Canal
Answer: Ohio River