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Finding the Third Proportional to 83,754 and 129,519

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Solution

The third proportional to 83,754 and 129,519 is: 200,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754 : 129,519 = 129,519 : x
  2. Step 2: Convert to fraction form
    83,754/129,519 = 129,519/x
  3. Step 3: Cross multiply
    83,754x = 129,519 × 129,519
  4. Step 4: Simplify right side
    83,754x = 16,775,171,361
  5. Step 5: Solve for x
    x = 16,775,171,361/83,754
  6. Step 6: Final answer
    x = 200,290.99

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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.