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Finding the Third Proportional to 126,733 and 177,181

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Solution

The third proportional to 126,733 and 177,181 is: 247,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,733 : 177,181 = 177,181 : x
  2. Step 2: Convert to fraction form
    126,733/177,181 = 177,181/x
  3. Step 3: Cross multiply
    126,733x = 177,181 × 177,181
  4. Step 4: Simplify right side
    126,733x = 31,393,106,761
  5. Step 5: Solve for x
    x = 31,393,106,761/126,733
  6. Step 6: Final answer
    x = 247,710.59

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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.