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Finding the Third Proportional to 123,731 and 275,794

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Solution

The third proportional to 123,731 and 275,794 is: 614,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,731 : 275,794 = 275,794 : x
  2. Step 2: Convert to fraction form
    123,731/275,794 = 275,794/x
  3. Step 3: Cross multiply
    123,731x = 275,794 × 275,794
  4. Step 4: Simplify right side
    123,731x = 76,062,330,436
  5. Step 5: Solve for x
    x = 76,062,330,436/123,731
  6. Step 6: Final answer
    x = 614,739.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.