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Finding the Third Proportional to 61,374 and 132,432

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Solution

The third proportional to 61,374 and 132,432 is: 285,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,374 : 132,432 = 132,432 : x
  2. Step 2: Convert to fraction form
    61,374/132,432 = 132,432/x
  3. Step 3: Cross multiply
    61,374x = 132,432 × 132,432
  4. Step 4: Simplify right side
    61,374x = 17,538,234,624
  5. Step 5: Solve for x
    x = 17,538,234,624/61,374
  6. Step 6: Final answer
    x = 285,760.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.