The lift L (upward force) associated with flow across an airplane wing can be approximated from the expression L = Cρμ²A, where C is a coefficient that depends on wing characteristics, ρ is the density of air, u is the velocity of air across the wing, and A is the wing area. The maximum weight of a new Boeing 737-900 at takeoff is 187;700 lb_f. Estimate the ratio of takeoff speeds in New Orleans, where the average barometric pressure is 14.69 psia, to that in Mexico City, where the average barometric pressure is 11.2 psia. Assume the temperatures at both locations are the same.