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Finding the Third Proportional to 29,137 and 62,429

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Solution

The third proportional to 29,137 and 62,429 is: 133,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137 : 62,429 = 62,429 : x
  2. Step 2: Convert to fraction form
    29,137/62,429 = 62,429/x
  3. Step 3: Cross multiply
    29,137x = 62,429 × 62,429
  4. Step 4: Simplify right side
    29,137x = 3,897,380,041
  5. Step 5: Solve for x
    x = 3,897,380,041/29,137
  6. Step 6: Final answer
    x = 133,760.51

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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.