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Finding the Third Proportional to 29,147 and 62,541

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Solution

The third proportional to 29,147 and 62,541 is: 134,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147 : 62,541 = 62,541 : x
  2. Step 2: Convert to fraction form
    29,147/62,541 = 62,541/x
  3. Step 3: Cross multiply
    29,147x = 62,541 × 62,541
  4. Step 4: Simplify right side
    29,147x = 3,911,376,681
  5. Step 5: Solve for x
    x = 3,911,376,681/29,147
  6. Step 6: Final answer
    x = 134,194.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.