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Finding the Third Proportional to 83,436 and 173,775

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Solution

The third proportional to 83,436 and 173,775 is: 361,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436 : 173,775 = 173,775 : x
  2. Step 2: Convert to fraction form
    83,436/173,775 = 173,775/x
  3. Step 3: Cross multiply
    83,436x = 173,775 × 173,775
  4. Step 4: Simplify right side
    83,436x = 30,197,750,625
  5. Step 5: Solve for x
    x = 30,197,750,625/83,436
  6. Step 6: Final answer
    x = 361,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.