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Finding the Third Proportional to 54,901.13 and 80,257.50

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Solution

The third proportional to 54,901.13 and 80,257.50 is: 117,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.13 : 80,257.50 = 80,257.50 : x
  2. Step 2: Convert to fraction form
    54,901.13/80,257.50 = 80,257.50/x
  3. Step 3: Cross multiply
    54,901.13x = 80,257.50 × 80,257.50
  4. Step 4: Simplify right side
    54,901.13x = 6,441,266,306.25
  5. Step 5: Solve for x
    x = 6,441,266,306.25/54,901.13
  6. Step 6: Final answer
    x = 117,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.