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Finding the Third Proportional to 126,180.70 and 193,947.75

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Solution

The third proportional to 126,180.70 and 193,947.75 is: 298,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,180.70 : 193,947.75 = 193,947.75 : x
  2. Step 2: Convert to fraction form
    126,180.70/193,947.75 = 193,947.75/x
  3. Step 3: Cross multiply
    126,180.70x = 193,947.75 × 193,947.75
  4. Step 4: Simplify right side
    126,180.70x = 37,615,729,730.06
  5. Step 5: Solve for x
    x = 37,615,729,730.06/126,180.70
  6. Step 6: Final answer
    x = 298,110.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.