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Finding the Third Proportional to 29,142 and 62,439

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Solution

The third proportional to 29,142 and 62,439 is: 133,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142 : 62,439 = 62,439 : x
  2. Step 2: Convert to fraction form
    29,142/62,439 = 62,439/x
  3. Step 3: Cross multiply
    29,142x = 62,439 × 62,439
  4. Step 4: Simplify right side
    29,142x = 3,898,628,721
  5. Step 5: Solve for x
    x = 3,898,628,721/29,142
  6. Step 6: Final answer
    x = 133,780.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.