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Finding the Third Proportional to 62,314 and 132,418

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Solution

The third proportional to 62,314 and 132,418 is: 281,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,314 : 132,418 = 132,418 : x
  2. Step 2: Convert to fraction form
    62,314/132,418 = 132,418/x
  3. Step 3: Cross multiply
    62,314x = 132,418 × 132,418
  4. Step 4: Simplify right side
    62,314x = 17,534,526,724
  5. Step 5: Solve for x
    x = 17,534,526,724/62,314
  6. Step 6: Final answer
    x = 281,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.