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Finding the Third Proportional to 57,125.25 and 86,902.88

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Solution

The third proportional to 57,125.25 and 86,902.88 is: 132,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,125.25 : 86,902.88 = 86,902.88 : x
  2. Step 2: Convert to fraction form
    57,125.25/86,902.88 = 86,902.88/x
  3. Step 3: Cross multiply
    57,125.25x = 86,902.88 × 86,902.88
  4. Step 4: Simplify right side
    57,125.25x = 7,552,109,683.27
  5. Step 5: Solve for x
    x = 7,552,109,683.27/57,125.25
  6. Step 6: Final answer
    x = 132,202.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.