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Finding the Third Proportional to 122,733 and 267,642

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Solution

The third proportional to 122,733 and 267,642 is: 583,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,733 : 267,642 = 267,642 : x
  2. Step 2: Convert to fraction form
    122,733/267,642 = 267,642/x
  3. Step 3: Cross multiply
    122,733x = 267,642 × 267,642
  4. Step 4: Simplify right side
    122,733x = 71,632,240,164
  5. Step 5: Solve for x
    x = 71,632,240,164/122,733
  6. Step 6: Final answer
    x = 583,642.87

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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.