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Finding the Third Proportional to 57,472 and 89,214

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Solution

The third proportional to 57,472 and 89,214 is: 138,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472 : 89,214 = 89,214 : x
  2. Step 2: Convert to fraction form
    57,472/89,214 = 89,214/x
  3. Step 3: Cross multiply
    57,472x = 89,214 × 89,214
  4. Step 4: Simplify right side
    57,472x = 7,959,137,796
  5. Step 5: Solve for x
    x = 7,959,137,796/57,472
  6. Step 6: Final answer
    x = 138,487.23

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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.