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Finding the Third Proportional to 83,262 and 126,966

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Solution

The third proportional to 83,262 and 126,966 is: 193,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262 : 126,966 = 126,966 : x
  2. Step 2: Convert to fraction form
    83,262/126,966 = 126,966/x
  3. Step 3: Cross multiply
    83,262x = 126,966 × 126,966
  4. Step 4: Simplify right side
    83,262x = 16,120,365,156
  5. Step 5: Solve for x
    x = 16,120,365,156/83,262
  6. Step 6: Final answer
    x = 193,610.11

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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.