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Finding the Third Proportional to 121,850.75 and 267,240.75

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Solution

The third proportional to 121,850.75 and 267,240.75 is: 586,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,850.75 : 267,240.75 = 267,240.75 : x
  2. Step 2: Convert to fraction form
    121,850.75/267,240.75 = 267,240.75/x
  3. Step 3: Cross multiply
    121,850.75x = 267,240.75 × 267,240.75
  4. Step 4: Simplify right side
    121,850.75x = 71,417,618,460.56
  5. Step 5: Solve for x
    x = 71,417,618,460.56/121,850.75
  6. Step 6: Final answer
    x = 586,107.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.