If the third segment is half as long as the second, then the second segment is twice as long as the third, or 10*2=<<10*2=20>>20 minutes long.
The first segment is twice as long as the other two combined, or 2*(10+20)=<<2*(10+20)=60>>60 minutes.
Thus, in total, the show is 10+20+60=<<10+20+60=90>>90 minutes long.
#### 90