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Finding the Third Proportional to 121,453.50 and 267,009

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Solution

The third proportional to 121,453.50 and 267,009 is: 587,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,453.50 : 267,009 = 267,009 : x
  2. Step 2: Convert to fraction form
    121,453.50/267,009 = 267,009/x
  3. Step 3: Cross multiply
    121,453.50x = 267,009 × 267,009
  4. Step 4: Simplify right side
    121,453.50x = 71,293,806,081
  5. Step 5: Solve for x
    x = 71,293,806,081/121,453.50
  6. Step 6: Final answer
    x = 587,004.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.