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Finding the Third Proportional to 83,499 and 169,913

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Solution

The third proportional to 83,499 and 169,913 is: 345,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,499 : 169,913 = 169,913 : x
  2. Step 2: Convert to fraction form
    83,499/169,913 = 169,913/x
  3. Step 3: Cross multiply
    83,499x = 169,913 × 169,913
  4. Step 4: Simplify right side
    83,499x = 28,870,427,569
  5. Step 5: Solve for x
    x = 28,870,427,569/83,499
  6. Step 6: Final answer
    x = 345,757.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.