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Finding the Third Proportional to 123,240 and 195,916

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Solution

The third proportional to 123,240 and 195,916 is: 311,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,240 : 195,916 = 195,916 : x
  2. Step 2: Convert to fraction form
    123,240/195,916 = 195,916/x
  3. Step 3: Cross multiply
    123,240x = 195,916 × 195,916
  4. Step 4: Simplify right side
    123,240x = 38,383,079,056
  5. Step 5: Solve for x
    x = 38,383,079,056/123,240
  6. Step 6: Final answer
    x = 311,449.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.