Funda Nakkasoglu led the Gators (8-23) with 14 points.
Schuchts and Cunningham had 3-pointers as Missouri closed the first half with a 12-2 run to take a 42-32 lead. The Tigers, who had 13 3-pointers, picked up four more in the third quarter and pushed the lead to 64-46. Troup had back-to-back 3-pointers in a 16-0 run to start the fourth quarter.
The Tigers shot 52.5 percent (31 of 59) and outrebounded the Gators 38-27 with Smith grabbing nine.
Florida shot 37 percent and was just 1 of 8 from distance in the second half.