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Finding the Third Proportional to 122,706 and 267,626

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Solution

The third proportional to 122,706 and 267,626 is: 583,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706 : 267,626 = 267,626 : x
  2. Step 2: Convert to fraction form
    122,706/267,626 = 267,626/x
  3. Step 3: Cross multiply
    122,706x = 267,626 × 267,626
  4. Step 4: Simplify right side
    122,706x = 71,623,675,876
  5. Step 5: Solve for x
    x = 71,623,675,876/122,706
  6. Step 6: Final answer
    x = 583,701.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.