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Finding the Third Proportional to 54,821 and 119,542

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Solution

The third proportional to 54,821 and 119,542 is: 260,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821 : 119,542 = 119,542 : x
  2. Step 2: Convert to fraction form
    54,821/119,542 = 119,542/x
  3. Step 3: Cross multiply
    54,821x = 119,542 × 119,542
  4. Step 4: Simplify right side
    54,821x = 14,290,289,764
  5. Step 5: Solve for x
    x = 14,290,289,764/54,821
  6. Step 6: Final answer
    x = 260,671.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.