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Finding the Third Proportional to 57,474 and 89,218

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Solution

The third proportional to 57,474 and 89,218 is: 138,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474 : 89,218 = 89,218 : x
  2. Step 2: Convert to fraction form
    57,474/89,218 = 89,218/x
  3. Step 3: Cross multiply
    57,474x = 89,218 × 89,218
  4. Step 4: Simplify right side
    57,474x = 7,959,851,524
  5. Step 5: Solve for x
    x = 7,959,851,524/57,474
  6. Step 6: Final answer
    x = 138,494.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.