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Finding the Third Proportional to 62,344 and 132,474

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Solution

The third proportional to 62,344 and 132,474 is: 281,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,344 : 132,474 = 132,474 : x
  2. Step 2: Convert to fraction form
    62,344/132,474 = 132,474/x
  3. Step 3: Cross multiply
    62,344x = 132,474 × 132,474
  4. Step 4: Simplify right side
    62,344x = 17,549,360,676
  5. Step 5: Solve for x
    x = 17,549,360,676/62,344
  6. Step 6: Final answer
    x = 281,492.38

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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.