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Finding the Third Proportional to 83,488.50 and 169,893

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Solution

The third proportional to 83,488.50 and 169,893 is: 345,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,488.50 : 169,893 = 169,893 : x
  2. Step 2: Convert to fraction form
    83,488.50/169,893 = 169,893/x
  3. Step 3: Cross multiply
    83,488.50x = 169,893 × 169,893
  4. Step 4: Simplify right side
    83,488.50x = 28,863,631,449
  5. Step 5: Solve for x
    x = 28,863,631,449/83,488.50
  6. Step 6: Final answer
    x = 345,719.85

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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.