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Finding the Third Proportional to 122,132 and 267,880

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Solution

The third proportional to 122,132 and 267,880 is: 587,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,132 : 267,880 = 267,880 : x
  2. Step 2: Convert to fraction form
    122,132/267,880 = 267,880/x
  3. Step 3: Cross multiply
    122,132x = 267,880 × 267,880
  4. Step 4: Simplify right side
    122,132x = 71,759,694,400
  5. Step 5: Solve for x
    x = 71,759,694,400/122,132
  6. Step 6: Final answer
    x = 587,558.50

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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.