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Finding the Third Proportional to 32,117.25 and 71,118.75

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Solution

The third proportional to 32,117.25 and 71,118.75 is: 157,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.25 : 71,118.75 = 71,118.75 : x
  2. Step 2: Convert to fraction form
    32,117.25/71,118.75 = 71,118.75/x
  3. Step 3: Cross multiply
    32,117.25x = 71,118.75 × 71,118.75
  4. Step 4: Simplify right side
    32,117.25x = 5,057,876,601.56
  5. Step 5: Solve for x
    x = 5,057,876,601.56/32,117.25
  6. Step 6: Final answer
    x = 157,481.62

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.