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Finding the Third Proportional to 126,190.13 and 193,961.25

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Solution

The third proportional to 126,190.13 and 193,961.25 is: 298,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,190.13 : 193,961.25 = 193,961.25 : x
  2. Step 2: Convert to fraction form
    126,190.13/193,961.25 = 193,961.25/x
  3. Step 3: Cross multiply
    126,190.13x = 193,961.25 × 193,961.25
  4. Step 4: Simplify right side
    126,190.13x = 37,620,966,501.56
  5. Step 5: Solve for x
    x = 37,620,966,501.56/126,190.13
  6. Step 6: Final answer
    x = 298,129.24

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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.