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Finding the Third Proportional to 54,384 and 80,568

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Solution

The third proportional to 54,384 and 80,568 is: 119,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,384 : 80,568 = 80,568 : x
  2. Step 2: Convert to fraction form
    54,384/80,568 = 80,568/x
  3. Step 3: Cross multiply
    54,384x = 80,568 × 80,568
  4. Step 4: Simplify right side
    54,384x = 6,491,202,624
  5. Step 5: Solve for x
    x = 6,491,202,624/54,384
  6. Step 6: Final answer
    x = 119,358.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.