Question

The ratio 125:x is equivalent to the ratio x^2:125. What is the value of x?

Answer 1

$125:x=x^2:125 \\ \\ \frac{125}{x}=\frac{x^2}{125} \\ \\ x*x^2=125*125 \\ \\ x^3= 5^3*5^3 \\ \\ x^3=5^6 \\ \\ x^3=(5^2)^3 \\ \\ x^3=25^3 \\\\ \boxed{x=25}$

Answer 2

Answer:

x=25

Step-by-step explanation:

It is given that the ratio $125:x$ is equivalent to the ratio $x^2:125$.

Then, it can be written as:

$125:x=x^2:125$

⇒$\frac{125}{x}=\frac{x^2}{125}$

⇒$x^3=5^3{\times}5^3$

⇒$x^3=5^6$

⇒$x^3=((5)^2)^3$

⇒$x=(5)^2$

⇒$x=25$

Thus, the value of x will be 25.