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Finding the Third Proportional to 123,869 and 196,856

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Solution

The third proportional to 123,869 and 196,856 is: 312,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,869 : 196,856 = 196,856 : x
  2. Step 2: Convert to fraction form
    123,869/196,856 = 196,856/x
  3. Step 3: Cross multiply
    123,869x = 196,856 × 196,856
  4. Step 4: Simplify right side
    123,869x = 38,752,284,736
  5. Step 5: Solve for x
    x = 38,752,284,736/123,869
  6. Step 6: Final answer
    x = 312,848.94

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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.