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Finding the Third Proportional to 54,756 and 120,204

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Solution

The third proportional to 54,756 and 120,204 is: 263,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756 : 120,204 = 120,204 : x
  2. Step 2: Convert to fraction form
    54,756/120,204 = 120,204/x
  3. Step 3: Cross multiply
    54,756x = 120,204 × 120,204
  4. Step 4: Simplify right side
    54,756x = 14,449,001,616
  5. Step 5: Solve for x
    x = 14,449,001,616/54,756
  6. Step 6: Final answer
    x = 263,879.79

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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.