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Finding the Third Proportional to 83,504 and 129,314

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Solution

The third proportional to 83,504 and 129,314 is: 200,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,504 : 129,314 = 129,314 : x
  2. Step 2: Convert to fraction form
    83,504/129,314 = 129,314/x
  3. Step 3: Cross multiply
    83,504x = 129,314 × 129,314
  4. Step 4: Simplify right side
    83,504x = 16,722,110,596
  5. Step 5: Solve for x
    x = 16,722,110,596/83,504
  6. Step 6: Final answer
    x = 200,255.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.