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Finding the Third Proportional to 29,071 and 62,107

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Solution

The third proportional to 29,071 and 62,107 is: 132,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,071 : 62,107 = 62,107 : x
  2. Step 2: Convert to fraction form
    29,071/62,107 = 62,107/x
  3. Step 3: Cross multiply
    29,071x = 62,107 × 62,107
  4. Step 4: Simplify right side
    29,071x = 3,857,279,449
  5. Step 5: Solve for x
    x = 3,857,279,449/29,071
  6. Step 6: Final answer
    x = 132,684.79

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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.