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Finding the Third Proportional to 57,158 and 87,680

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Solution

The third proportional to 57,158 and 87,680 is: 134,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,158 : 87,680 = 87,680 : x
  2. Step 2: Convert to fraction form
    57,158/87,680 = 87,680/x
  3. Step 3: Cross multiply
    57,158x = 87,680 × 87,680
  4. Step 4: Simplify right side
    57,158x = 7,687,782,400
  5. Step 5: Solve for x
    x = 7,687,782,400/57,158
  6. Step 6: Final answer
    x = 134,500.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.