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Finding the Third Proportional to 54,385.31 and 117,843.75

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Solution

The third proportional to 54,385.31 and 117,843.75 is: 255,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,385.31 : 117,843.75 = 117,843.75 : x
  2. Step 2: Convert to fraction form
    54,385.31/117,843.75 = 117,843.75/x
  3. Step 3: Cross multiply
    54,385.31x = 117,843.75 × 117,843.75
  4. Step 4: Simplify right side
    54,385.31x = 13,887,149,414.06
  5. Step 5: Solve for x
    x = 13,887,149,414.06/54,385.31
  6. Step 6: Final answer
    x = 255,347.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.