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Finding the Third Proportional to 54,384 and 119,802

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Solution

The third proportional to 54,384 and 119,802 is: 263,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,384 : 119,802 = 119,802 : x
  2. Step 2: Convert to fraction form
    54,384/119,802 = 119,802/x
  3. Step 3: Cross multiply
    54,384x = 119,802 × 119,802
  4. Step 4: Simplify right side
    54,384x = 14,352,519,204
  5. Step 5: Solve for x
    x = 14,352,519,204/54,384
  6. Step 6: Final answer
    x = 263,910.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.