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Finding the Third Proportional to 83,267 and 126,986

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Solution

The third proportional to 83,267 and 126,986 is: 193,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,267 : 126,986 = 126,986 : x
  2. Step 2: Convert to fraction form
    83,267/126,986 = 126,986/x
  3. Step 3: Cross multiply
    83,267x = 126,986 × 126,986
  4. Step 4: Simplify right side
    83,267x = 16,125,444,196
  5. Step 5: Solve for x
    x = 16,125,444,196/83,267
  6. Step 6: Final answer
    x = 193,659.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.