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Finding the Third Proportional to 126,724 and 177,169

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Solution

The third proportional to 126,724 and 177,169 is: 247,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,724 : 177,169 = 177,169 : x
  2. Step 2: Convert to fraction form
    126,724/177,169 = 177,169/x
  3. Step 3: Cross multiply
    126,724x = 177,169 × 177,169
  4. Step 4: Simplify right side
    126,724x = 31,388,854,561
  5. Step 5: Solve for x
    x = 31,388,854,561/126,724
  6. Step 6: Final answer
    x = 247,694.63

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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.