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Finding the Third Proportional to 122,861 and 267,956

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Solution

The third proportional to 122,861 and 267,956 is: 584,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,861 : 267,956 = 267,956 : x
  2. Step 2: Convert to fraction form
    122,861/267,956 = 267,956/x
  3. Step 3: Cross multiply
    122,861x = 267,956 × 267,956
  4. Step 4: Simplify right side
    122,861x = 71,800,417,936
  5. Step 5: Solve for x
    x = 71,800,417,936/122,861
  6. Step 6: Final answer
    x = 584,403.66

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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.