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Finding the Third Proportional to 57,484 and 85,872

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Solution

The third proportional to 57,484 and 85,872 is: 128,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,484 : 85,872 = 85,872 : x
  2. Step 2: Convert to fraction form
    57,484/85,872 = 85,872/x
  3. Step 3: Cross multiply
    57,484x = 85,872 × 85,872
  4. Step 4: Simplify right side
    57,484x = 7,374,000,384
  5. Step 5: Solve for x
    x = 7,374,000,384/57,484
  6. Step 6: Final answer
    x = 128,279.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.