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Finding the Third Proportional to 78,869 and 122,192

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Solution

The third proportional to 78,869 and 122,192 is: 189,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869 : 122,192 = 122,192 : x
  2. Step 2: Convert to fraction form
    78,869/122,192 = 122,192/x
  3. Step 3: Cross multiply
    78,869x = 122,192 × 122,192
  4. Step 4: Simplify right side
    78,869x = 14,930,884,864
  5. Step 5: Solve for x
    x = 14,930,884,864/78,869
  6. Step 6: Final answer
    x = 189,312.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.