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Finding the Third Proportional to 83,494 and 129,299

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Solution

The third proportional to 83,494 and 129,299 is: 200,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494 : 129,299 = 129,299 : x
  2. Step 2: Convert to fraction form
    83,494/129,299 = 129,299/x
  3. Step 3: Cross multiply
    83,494x = 129,299 × 129,299
  4. Step 4: Simplify right side
    83,494x = 16,718,231,401
  5. Step 5: Solve for x
    x = 16,718,231,401/83,494
  6. Step 6: Final answer
    x = 200,232.73

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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.