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Finding the Third Proportional to 121,869 and 181,793.25

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Solution

The third proportional to 121,869 and 181,793.25 is: 271,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,869 : 181,793.25 = 181,793.25 : x
  2. Step 2: Convert to fraction form
    121,869/181,793.25 = 181,793.25/x
  3. Step 3: Cross multiply
    121,869x = 181,793.25 × 181,793.25
  4. Step 4: Simplify right side
    121,869x = 33,048,785,745.56
  5. Step 5: Solve for x
    x = 33,048,785,745.56/121,869
  6. Step 6: Final answer
    x = 271,182.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.