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Finding the Third Proportional to 126,744.75 and 177,207.75

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Solution

The third proportional to 126,744.75 and 177,207.75 is: 247,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,744.75 : 177,207.75 = 177,207.75 : x
  2. Step 2: Convert to fraction form
    126,744.75/177,207.75 = 177,207.75/x
  3. Step 3: Cross multiply
    126,744.75x = 177,207.75 × 177,207.75
  4. Step 4: Simplify right side
    126,744.75x = 31,402,586,660.06
  5. Step 5: Solve for x
    x = 31,402,586,660.06/126,744.75
  6. Step 6: Final answer
    x = 247,762.43

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