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Finding the Third Proportional to 124,992 and 269,626

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Solution

The third proportional to 124,992 and 269,626 is: 581,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,992 : 269,626 = 269,626 : x
  2. Step 2: Convert to fraction form
    124,992/269,626 = 269,626/x
  3. Step 3: Cross multiply
    124,992x = 269,626 × 269,626
  4. Step 4: Simplify right side
    124,992x = 72,698,179,876
  5. Step 5: Solve for x
    x = 72,698,179,876/124,992
  6. Step 6: Final answer
    x = 581,622.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.