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Finding the Third Proportional to 57,448 and 82,741

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Solution

The third proportional to 57,448 and 82,741 is: 119,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,448 : 82,741 = 82,741 : x
  2. Step 2: Convert to fraction form
    57,448/82,741 = 82,741/x
  3. Step 3: Cross multiply
    57,448x = 82,741 × 82,741
  4. Step 4: Simplify right side
    57,448x = 6,846,073,081
  5. Step 5: Solve for x
    x = 6,846,073,081/57,448
  6. Step 6: Final answer
    x = 119,169.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.