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Finding the Third Proportional to 62,364 and 132,517

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Solution

The third proportional to 62,364 and 132,517 is: 281,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,364 : 132,517 = 132,517 : x
  2. Step 2: Convert to fraction form
    62,364/132,517 = 132,517/x
  3. Step 3: Cross multiply
    62,364x = 132,517 × 132,517
  4. Step 4: Simplify right side
    62,364x = 17,560,755,289
  5. Step 5: Solve for x
    x = 17,560,755,289/62,364
  6. Step 6: Final answer
    x = 281,584.81

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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.