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Finding the Third Proportional to 54,584 and 119,922

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Solution

The third proportional to 54,584 and 119,922 is: 263,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,584 : 119,922 = 119,922 : x
  2. Step 2: Convert to fraction form
    54,584/119,922 = 119,922/x
  3. Step 3: Cross multiply
    54,584x = 119,922 × 119,922
  4. Step 4: Simplify right side
    54,584x = 14,381,286,084
  5. Step 5: Solve for x
    x = 14,381,286,084/54,584
  6. Step 6: Final answer
    x = 263,470.73

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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.