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Finding the Third Proportional to 83,544.75 and 129,274.88

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Solution

The third proportional to 83,544.75 and 129,274.88 is: 200,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544.75 : 129,274.88 = 129,274.88 : x
  2. Step 2: Convert to fraction form
    83,544.75/129,274.88 = 129,274.88/x
  3. Step 3: Cross multiply
    83,544.75x = 129,274.88 × 129,274.88
  4. Step 4: Simplify right side
    83,544.75x = 16,711,993,306.27
  5. Step 5: Solve for x
    x = 16,711,993,306.27/83,544.75
  6. Step 6: Final answer
    x = 200,036.43

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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.