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Finding the Third Proportional to 122,914 and 267,458.75

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Solution

The third proportional to 122,914 and 267,458.75 is: 581,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,914 : 267,458.75 = 267,458.75 : x
  2. Step 2: Convert to fraction form
    122,914/267,458.75 = 267,458.75/x
  3. Step 3: Cross multiply
    122,914x = 267,458.75 × 267,458.75
  4. Step 4: Simplify right side
    122,914x = 71,534,182,951.56
  5. Step 5: Solve for x
    x = 71,534,182,951.56/122,914
  6. Step 6: Final answer
    x = 581,985.64

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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.