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Finding the Third Proportional to 54,375.19 and 119,773.69

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Solution

The third proportional to 54,375.19 and 119,773.69 is: 263,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375.19 : 119,773.69 = 119,773.69 : x
  2. Step 2: Convert to fraction form
    54,375.19/119,773.69 = 119,773.69/x
  3. Step 3: Cross multiply
    54,375.19x = 119,773.69 × 119,773.69
  4. Step 4: Simplify right side
    54,375.19x = 14,345,736,217.35
  5. Step 5: Solve for x
    x = 14,345,736,217.35/54,375.19
  6. Step 6: Final answer
    x = 263,828.72

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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.