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Finding the Third Proportional to 29,124 and 62,402

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Solution

The third proportional to 29,124 and 62,402 is: 133,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 62,402 = 62,402 : x
  2. Step 2: Convert to fraction form
    29,124/62,402 = 62,402/x
  3. Step 3: Cross multiply
    29,124x = 62,402 × 62,402
  4. Step 4: Simplify right side
    29,124x = 3,894,009,604
  5. Step 5: Solve for x
    x = 3,894,009,604/29,124
  6. Step 6: Final answer
    x = 133,704.49

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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.