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Finding the Third Proportional to 62,384 and 134,744

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Solution

The third proportional to 62,384 and 134,744 is: 291,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,384 : 134,744 = 134,744 : x
  2. Step 2: Convert to fraction form
    62,384/134,744 = 134,744/x
  3. Step 3: Cross multiply
    62,384x = 134,744 × 134,744
  4. Step 4: Simplify right side
    62,384x = 18,155,945,536
  5. Step 5: Solve for x
    x = 18,155,945,536/62,384
  6. Step 6: Final answer
    x = 291,035.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.