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Finding the Third Proportional to 57,606 and 87,215

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Solution

The third proportional to 57,606 and 87,215 is: 132,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,606 : 87,215 = 87,215 : x
  2. Step 2: Convert to fraction form
    57,606/87,215 = 87,215/x
  3. Step 3: Cross multiply
    57,606x = 87,215 × 87,215
  4. Step 4: Simplify right side
    57,606x = 7,606,456,225
  5. Step 5: Solve for x
    x = 7,606,456,225/57,606
  6. Step 6: Final answer
    x = 132,042.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.