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Finding the Third Proportional to 83,949.75 and 126,733.13

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Solution

The third proportional to 83,949.75 and 126,733.13 is: 191,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,949.75 : 126,733.13 = 126,733.13 : x
  2. Step 2: Convert to fraction form
    83,949.75/126,733.13 = 126,733.13/x
  3. Step 3: Cross multiply
    83,949.75x = 126,733.13 × 126,733.13
  4. Step 4: Simplify right side
    83,949.75x = 16,061,284,972.27
  5. Step 5: Solve for x
    x = 16,061,284,972.27/83,949.75
  6. Step 6: Final answer
    x = 191,320.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.