The population of a city increased by 5%, 2% and 6% in the first, second and third year, respectively. At the end of the third year, the population became 56,763. Find the initial population of the city.

50000

Let the population of the city three years before be P, then

 P × \(\frac{105}{100}\) ×\(\frac{102}{100}\) ×\(\frac{106}{100}\) = 56,763

P = 56763 × \(\frac{20}{21}\) × \(\frac{50}{51}\) × \(\frac{50}{53}\)

P = 50000