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Finding the Third Proportional to 123,039 and 192,757

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Solution

The third proportional to 123,039 and 192,757 is: 301,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,039 : 192,757 = 192,757 : x
  2. Step 2: Convert to fraction form
    123,039/192,757 = 192,757/x
  3. Step 3: Cross multiply
    123,039x = 192,757 × 192,757
  4. Step 4: Simplify right side
    123,039x = 37,155,261,049
  5. Step 5: Solve for x
    x = 37,155,261,049/123,039
  6. Step 6: Final answer
    x = 301,979.54

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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.