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Finding the Third Proportional to 120,928 and 181,856

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Solution

The third proportional to 120,928 and 181,856 is: 273,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,928 : 181,856 = 181,856 : x
  2. Step 2: Convert to fraction form
    120,928/181,856 = 181,856/x
  3. Step 3: Cross multiply
    120,928x = 181,856 × 181,856
  4. Step 4: Simplify right side
    120,928x = 33,071,604,736
  5. Step 5: Solve for x
    x = 33,071,604,736/120,928
  6. Step 6: Final answer
    x = 273,481.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.