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Finding the Third Proportional to 29,137 and 62,087

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Solution

The third proportional to 29,137 and 62,087 is: 132,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137 : 62,087 = 62,087 : x
  2. Step 2: Convert to fraction form
    29,137/62,087 = 62,087/x
  3. Step 3: Cross multiply
    29,137x = 62,087 × 62,087
  4. Step 4: Simplify right side
    29,137x = 3,854,795,569
  5. Step 5: Solve for x
    x = 3,854,795,569/29,137
  6. Step 6: Final answer
    x = 132,298.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.