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Finding the Third Proportional to 126,712.69 and 177,152.06

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Solution

The third proportional to 126,712.69 and 177,152.06 is: 247,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,712.69 : 177,152.06 = 177,152.06 : x
  2. Step 2: Convert to fraction form
    126,712.69/177,152.06 = 177,152.06/x
  3. Step 3: Cross multiply
    126,712.69x = 177,152.06 × 177,152.06
  4. Step 4: Simplify right side
    126,712.69x = 31,382,853,248.00
  5. Step 5: Solve for x
    x = 31,382,853,248.00/126,712.69
  6. Step 6: Final answer
    x = 247,669.38

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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.