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Finding the Third Proportional to 61,354 and 132,374

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Solution

The third proportional to 61,354 and 132,374 is: 285,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,354 : 132,374 = 132,374 : x
  2. Step 2: Convert to fraction form
    61,354/132,374 = 132,374/x
  3. Step 3: Cross multiply
    61,354x = 132,374 × 132,374
  4. Step 4: Simplify right side
    61,354x = 17,522,875,876
  5. Step 5: Solve for x
    x = 17,522,875,876/61,354
  6. Step 6: Final answer
    x = 285,602.83

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