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Finding the Third Proportional to 49,481.25 and 107,842.75

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Solution

The third proportional to 49,481.25 and 107,842.75 is: 235,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,481.25 : 107,842.75 = 107,842.75 : x
  2. Step 2: Convert to fraction form
    49,481.25/107,842.75 = 107,842.75/x
  3. Step 3: Cross multiply
    49,481.25x = 107,842.75 × 107,842.75
  4. Step 4: Simplify right side
    49,481.25x = 11,630,058,727.56
  5. Step 5: Solve for x
    x = 11,630,058,727.56/49,481.25
  6. Step 6: Final answer
    x = 235,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.