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Finding the Third Proportional to 40,771 and 87,494

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Solution

The third proportional to 40,771 and 87,494 is: 187,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771 : 87,494 = 87,494 : x
  2. Step 2: Convert to fraction form
    40,771/87,494 = 87,494/x
  3. Step 3: Cross multiply
    40,771x = 87,494 × 87,494
  4. Step 4: Simplify right side
    40,771x = 7,655,200,036
  5. Step 5: Solve for x
    x = 7,655,200,036/40,771
  6. Step 6: Final answer
    x = 187,760.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.