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Finding the Third Proportional to 80,943.75 and 126,713.25

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Solution

The third proportional to 80,943.75 and 126,713.25 is: 198,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,943.75 : 126,713.25 = 126,713.25 : x
  2. Step 2: Convert to fraction form
    80,943.75/126,713.25 = 126,713.25/x
  3. Step 3: Cross multiply
    80,943.75x = 126,713.25 × 126,713.25
  4. Step 4: Simplify right side
    80,943.75x = 16,056,247,725.56
  5. Step 5: Solve for x
    x = 16,056,247,725.56/80,943.75
  6. Step 6: Final answer
    x = 198,363.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.