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Finding the Third Proportional to 42,952 and 94,374

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Solution

The third proportional to 42,952 and 94,374 is: 207,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952 : 94,374 = 94,374 : x
  2. Step 2: Convert to fraction form
    42,952/94,374 = 94,374/x
  3. Step 3: Cross multiply
    42,952x = 94,374 × 94,374
  4. Step 4: Simplify right side
    42,952x = 8,906,451,876
  5. Step 5: Solve for x
    x = 8,906,451,876/42,952
  6. Step 6: Final answer
    x = 207,358.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.