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Finding the Third Proportional to 123,027 and 192,741

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Solution

The third proportional to 123,027 and 192,741 is: 301,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,027 : 192,741 = 192,741 : x
  2. Step 2: Convert to fraction form
    123,027/192,741 = 192,741/x
  3. Step 3: Cross multiply
    123,027x = 192,741 × 192,741
  4. Step 4: Simplify right side
    123,027x = 37,149,093,081
  5. Step 5: Solve for x
    x = 37,149,093,081/123,027
  6. Step 6: Final answer
    x = 301,958.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.