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Finding the Third Proportional to 122,067 and 182,980

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Solution

The third proportional to 122,067 and 182,980 is: 274,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,067 : 182,980 = 182,980 : x
  2. Step 2: Convert to fraction form
    122,067/182,980 = 182,980/x
  3. Step 3: Cross multiply
    122,067x = 182,980 × 182,980
  4. Step 4: Simplify right side
    122,067x = 33,481,680,400
  5. Step 5: Solve for x
    x = 33,481,680,400/122,067
  6. Step 6: Final answer
    x = 274,289.37

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Why These Related Problems?

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