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Finding the Third Proportional to 79,942 and 123,022

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Solution

The third proportional to 79,942 and 123,022 is: 189,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,942 : 123,022 = 123,022 : x
  2. Step 2: Convert to fraction form
    79,942/123,022 = 123,022/x
  3. Step 3: Cross multiply
    79,942x = 123,022 × 123,022
  4. Step 4: Simplify right side
    79,942x = 15,134,412,484
  5. Step 5: Solve for x
    x = 15,134,412,484/79,942
  6. Step 6: Final answer
    x = 189,317.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.