Two numbers are respectively 20% and 50% more than a third number. The 

ratio of the two numbers is

Let the third number be \( x \).

- The first number is 20% more than the third number, so it can be expressed as:  
  \[
  a = x + 0.20x = 1.20x
  \]

- The second number is 50% more than the third number, so it can be expressed as:  
  \[
  b = x + 0.50x = 1.50x
  \]

Now, the ratio of the two numbers is:
\[
\frac{a}{b} = \frac{1.20x}{1.50x} = \frac{1.20}{1.50} = \frac{12}{15} = \frac{4}{5}
\]

So, the ratio of the two numbers is \( \frac{4}{5} \).

Would you like more details on this or have any questions?

Here are 5 related questions:
1. How do you solve problems involving percentage increases?
2. What is the concept of ratios and how are they simplified?
3. How would the ratio change if the percentages were different?
4. Can ratios represent the relationship between three or more numbers?
5. How do you calculate percentage decreases in similar problems?

**Tip**: Always express percentage increases as a multiplication factor when solving related problems.

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Learn how to find the ratio between two numbers that are 20% and 50% more than a third number. This step-by-step solution explores percentage increases and ratio simplification, perfect for students in Grades 6-8.

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