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Finding the Third Proportional to 83,241 and 126,947.25

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Solution

The third proportional to 83,241 and 126,947.25 is: 193,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,241 : 126,947.25 = 126,947.25 : x
  2. Step 2: Convert to fraction form
    83,241/126,947.25 = 126,947.25/x
  3. Step 3: Cross multiply
    83,241x = 126,947.25 × 126,947.25
  4. Step 4: Simplify right side
    83,241x = 16,115,604,282.56
  5. Step 5: Solve for x
    x = 16,115,604,282.56/83,241
  6. Step 6: Final answer
    x = 193,601.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.