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Finding the Third Proportional to 29,129 and 62,409

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Solution

The third proportional to 29,129 and 62,409 is: 133,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,129 : 62,409 = 62,409 : x
  2. Step 2: Convert to fraction form
    29,129/62,409 = 62,409/x
  3. Step 3: Cross multiply
    29,129x = 62,409 × 62,409
  4. Step 4: Simplify right side
    29,129x = 3,894,883,281
  5. Step 5: Solve for x
    x = 3,894,883,281/29,129
  6. Step 6: Final answer
    x = 133,711.53

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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.