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Finding the Third Proportional to 57,856 and 87,510

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Solution

The third proportional to 57,856 and 87,510 is: 132,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856 : 87,510 = 87,510 : x
  2. Step 2: Convert to fraction form
    57,856/87,510 = 87,510/x
  3. Step 3: Cross multiply
    57,856x = 87,510 × 87,510
  4. Step 4: Simplify right side
    57,856x = 7,658,000,100
  5. Step 5: Solve for x
    x = 7,658,000,100/57,856
  6. Step 6: Final answer
    x = 132,363.11

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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.