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Finding the Third Proportional to 121,852 and 267,241

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Solution

The third proportional to 121,852 and 267,241 is: 586,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,852 : 267,241 = 267,241 : x
  2. Step 2: Convert to fraction form
    121,852/267,241 = 267,241/x
  3. Step 3: Cross multiply
    121,852x = 267,241 × 267,241
  4. Step 4: Simplify right side
    121,852x = 71,417,752,081
  5. Step 5: Solve for x
    x = 71,417,752,081/121,852
  6. Step 6: Final answer
    x = 586,102.42

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Why These Related Problems?

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