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Finding the Third Proportional to 80,859 and 175,853

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Solution

The third proportional to 80,859 and 175,853 is: 382,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,859 : 175,853 = 175,853 : x
  2. Step 2: Convert to fraction form
    80,859/175,853 = 175,853/x
  3. Step 3: Cross multiply
    80,859x = 175,853 × 175,853
  4. Step 4: Simplify right side
    80,859x = 30,924,277,609
  5. Step 5: Solve for x
    x = 30,924,277,609/80,859
  6. Step 6: Final answer
    x = 382,446.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.