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Finding the Third Proportional to 62,424 and 101,414

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Solution

The third proportional to 62,424 and 101,414 is: 164,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,424 : 101,414 = 101,414 : x
  2. Step 2: Convert to fraction form
    62,424/101,414 = 101,414/x
  3. Step 3: Cross multiply
    62,424x = 101,414 × 101,414
  4. Step 4: Simplify right side
    62,424x = 10,284,799,396
  5. Step 5: Solve for x
    x = 10,284,799,396/62,424
  6. Step 6: Final answer
    x = 164,757.14

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.