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Finding the Third Proportional to 54,901.13 and 80,481.38

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Solution

The third proportional to 54,901.13 and 80,481.38 is: 117,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,901.13 : 80,481.38 = 80,481.38 : x
  2. Step 2: Convert to fraction form
    54,901.13/80,481.38 = 80,481.38/x
  3. Step 3: Cross multiply
    54,901.13x = 80,481.38 × 80,481.38
  4. Step 4: Simplify right side
    54,901.13x = 6,477,251,721.89
  5. Step 5: Solve for x
    x = 6,477,251,721.89/54,901.13
  6. Step 6: Final answer
    x = 117,980.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.