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Finding the Third Proportional to 83,548 and 129,451

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Solution

The third proportional to 83,548 and 129,451 is: 200,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548 : 129,451 = 129,451 : x
  2. Step 2: Convert to fraction form
    83,548/129,451 = 129,451/x
  3. Step 3: Cross multiply
    83,548x = 129,451 × 129,451
  4. Step 4: Simplify right side
    83,548x = 16,757,561,401
  5. Step 5: Solve for x
    x = 16,757,561,401/83,548
  6. Step 6: Final answer
    x = 200,574.06

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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.