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Finding the Third Proportional to 122,721.75 and 267,617.25

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Solution

The third proportional to 122,721.75 and 267,617.25 is: 583,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,721.75 : 267,617.25 = 267,617.25 : x
  2. Step 2: Convert to fraction form
    122,721.75/267,617.25 = 267,617.25/x
  3. Step 3: Cross multiply
    122,721.75x = 267,617.25 × 267,617.25
  4. Step 4: Simplify right side
    122,721.75x = 71,618,992,497.56
  5. Step 5: Solve for x
    x = 71,618,992,497.56/122,721.75
  6. Step 6: Final answer
    x = 583,588.42

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