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Finding the Third Proportional to 121,962 and 267,244

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Solution

The third proportional to 121,962 and 267,244 is: 585,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,962 : 267,244 = 267,244 : x
  2. Step 2: Convert to fraction form
    121,962/267,244 = 267,244/x
  3. Step 3: Cross multiply
    121,962x = 267,244 × 267,244
  4. Step 4: Simplify right side
    121,962x = 71,419,355,536
  5. Step 5: Solve for x
    x = 71,419,355,536/121,962
  6. Step 6: Final answer
    x = 585,586.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.