New Mexico is about 75 times bigger than French Polynesia.

French Polynesia is approximately 4,167 sq km, while New Mexico is approximately 314,310 sq km, making New Mexico 7,443% larger than French Polynesia. Meanwhile, the population of French Polynesia is ~299,356 people (1.8 million more people live in New Mexico).
Tip: This to-scale comparison of French Polynesia vs. New Mexico uses the Mercator projection, which distorts the size of regions near the poles.