counting

The next multiple of 3 after 62 is 63...and 273 is the nearest multiple of 3 that is less than 275... the number of multiplyes is given by:

 

$\frac{273-63}{3}+1=\frac{210}{3}+1=70+1=\boxed{71}$

 

*Credit, CPhill's answer to this problem: https://web2.0calc.com/questions/how-many-multiples-of-3-are-between-62-and-215*