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Finding the Third Proportional to 83,132 and 172,177

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Solution

The third proportional to 83,132 and 172,177 is: 356,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132 : 172,177 = 172,177 : x
  2. Step 2: Convert to fraction form
    83,132/172,177 = 172,177/x
  3. Step 3: Cross multiply
    83,132x = 172,177 × 172,177
  4. Step 4: Simplify right side
    83,132x = 29,644,919,329
  5. Step 5: Solve for x
    x = 29,644,919,329/83,132
  6. Step 6: Final answer
    x = 356,600.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.