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Finding the Third Proportional to 83,279.25 and 126,992.25

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Solution

The third proportional to 83,279.25 and 126,992.25 is: 193,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,279.25 : 126,992.25 = 126,992.25 : x
  2. Step 2: Convert to fraction form
    83,279.25/126,992.25 = 126,992.25/x
  3. Step 3: Cross multiply
    83,279.25x = 126,992.25 × 126,992.25
  4. Step 4: Simplify right side
    83,279.25x = 16,127,031,560.06
  5. Step 5: Solve for x
    x = 16,127,031,560.06/83,279.25
  6. Step 6: Final answer
    x = 193,650.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.