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Finding the Third Proportional to 57,432 and 84,256

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Solution

The third proportional to 57,432 and 84,256 is: 123,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432 : 84,256 = 84,256 : x
  2. Step 2: Convert to fraction form
    57,432/84,256 = 84,256/x
  3. Step 3: Cross multiply
    57,432x = 84,256 × 84,256
  4. Step 4: Simplify right side
    57,432x = 7,099,073,536
  5. Step 5: Solve for x
    x = 7,099,073,536/57,432
  6. Step 6: Final answer
    x = 123,608.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.