Describe and correct the error in making the ratio table

In the table the first ratio is [tex] \frac{5}{3} [/tex]
And the next ratio is
[tex] \frac{25}{9} [/tex].
Here both numerator and denominator are not multiplied by the same factor.
Let's check out first ratio and multiply both numerator and denominator by 5
[tex] \frac{5*5}{3*5} = \frac{25}{15} [/tex]
So the error is at 9. There have to be 15 .
The third ratio is [tex] \frac{125}{27} [/tex]
Multiply the numerator and denominator of the first ratio by 25
[tex] \frac{5*25}{3*25} = \frac{125}{75} [/tex]
So the error is at 27. There have to be 75 .