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Finding the Third Proportional to 120,980 and 192,167

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Solution

The third proportional to 120,980 and 192,167 is: 305,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980 : 192,167 = 192,167 : x
  2. Step 2: Convert to fraction form
    120,980/192,167 = 192,167/x
  3. Step 3: Cross multiply
    120,980x = 192,167 × 192,167
  4. Step 4: Simplify right side
    120,980x = 36,928,155,889
  5. Step 5: Solve for x
    x = 36,928,155,889/120,980
  6. Step 6: Final answer
    x = 305,241.82

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Why These Related Problems?

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