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Finding the Third Proportional to 126,736 and 177,186

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Solution

The third proportional to 126,736 and 177,186 is: 247,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,736 : 177,186 = 177,186 : x
  2. Step 2: Convert to fraction form
    126,736/177,186 = 177,186/x
  3. Step 3: Cross multiply
    126,736x = 177,186 × 177,186
  4. Step 4: Simplify right side
    126,736x = 31,394,878,596
  5. Step 5: Solve for x
    x = 31,394,878,596/126,736
  6. Step 6: Final answer
    x = 247,718.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.