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Finding the Third Proportional to 54,442.13 and 119,920.50

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Solution

The third proportional to 54,442.13 and 119,920.50 is: 264,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,442.13 : 119,920.50 = 119,920.50 : x
  2. Step 2: Convert to fraction form
    54,442.13/119,920.50 = 119,920.50/x
  3. Step 3: Cross multiply
    54,442.13x = 119,920.50 × 119,920.50
  4. Step 4: Simplify right side
    54,442.13x = 14,380,926,320.25
  5. Step 5: Solve for x
    x = 14,380,926,320.25/54,442.13
  6. Step 6: Final answer
    x = 264,150.72

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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.