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Finding the Third Proportional to 126,740 and 177,193

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Solution

The third proportional to 126,740 and 177,193 is: 247,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,740 : 177,193 = 177,193 : x
  2. Step 2: Convert to fraction form
    126,740/177,193 = 177,193/x
  3. Step 3: Cross multiply
    126,740x = 177,193 × 177,193
  4. Step 4: Simplify right side
    126,740x = 31,397,359,249
  5. Step 5: Solve for x
    x = 31,397,359,249/126,740
  6. Step 6: Final answer
    x = 247,730.47

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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.