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Finding the Third Proportional to 83,544 and 129,304

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Solution

The third proportional to 83,544 and 129,304 is: 200,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544 : 129,304 = 129,304 : x
  2. Step 2: Convert to fraction form
    83,544/129,304 = 129,304/x
  3. Step 3: Cross multiply
    83,544x = 129,304 × 129,304
  4. Step 4: Simplify right side
    83,544x = 16,719,524,416
  5. Step 5: Solve for x
    x = 16,719,524,416/83,544
  6. Step 6: Final answer
    x = 200,128.37

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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.