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Finding the Third Proportional to 62,500 and 132,344

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Solution

The third proportional to 62,500 and 132,344 is: 280,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500 : 132,344 = 132,344 : x
  2. Step 2: Convert to fraction form
    62,500/132,344 = 132,344/x
  3. Step 3: Cross multiply
    62,500x = 132,344 × 132,344
  4. Step 4: Simplify right side
    62,500x = 17,514,934,336
  5. Step 5: Solve for x
    x = 17,514,934,336/62,500
  6. Step 6: Final answer
    x = 280,238.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.