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Finding the Third Proportional to 57,432.38 and 126,191.25

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Solution

The third proportional to 57,432.38 and 126,191.25 is: 277,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432.38 : 126,191.25 = 126,191.25 : x
  2. Step 2: Convert to fraction form
    57,432.38/126,191.25 = 126,191.25/x
  3. Step 3: Cross multiply
    57,432.38x = 126,191.25 × 126,191.25
  4. Step 4: Simplify right side
    57,432.38x = 15,924,231,576.56
  5. Step 5: Solve for x
    x = 15,924,231,576.56/57,432.38
  6. Step 6: Final answer
    x = 277,269.25

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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.