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Finding the Third Proportional to 126,177.94 and 193,944.13

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Solution

The third proportional to 126,177.94 and 193,944.13 is: 298,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,177.94 : 193,944.13 = 193,944.13 : x
  2. Step 2: Convert to fraction form
    126,177.94/193,944.13 = 193,944.13/x
  3. Step 3: Cross multiply
    126,177.94x = 193,944.13 × 193,944.13
  4. Step 4: Simplify right side
    126,177.94x = 37,614,323,622.02
  5. Step 5: Solve for x
    x = 37,614,323,622.02/126,177.94
  6. Step 6: Final answer
    x = 298,105.39

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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.