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Finding the Third Proportional to 126,738 and 177,185

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Solution

The third proportional to 126,738 and 177,185 is: 247,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 177,185 = 177,185 : x
  2. Step 2: Convert to fraction form
    126,738/177,185 = 177,185/x
  3. Step 3: Cross multiply
    126,738x = 177,185 × 177,185
  4. Step 4: Simplify right side
    126,738x = 31,394,524,225
  5. Step 5: Solve for x
    x = 31,394,524,225/126,738
  6. Step 6: Final answer
    x = 247,712.01

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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.