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Finding the Third Proportional to 121,854 and 267,246

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Solution

The third proportional to 121,854 and 267,246 is: 586,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,854 : 267,246 = 267,246 : x
  2. Step 2: Convert to fraction form
    121,854/267,246 = 267,246/x
  3. Step 3: Cross multiply
    121,854x = 267,246 × 267,246
  4. Step 4: Simplify right side
    121,854x = 71,420,424,516
  5. Step 5: Solve for x
    x = 71,420,424,516/121,854
  6. Step 6: Final answer
    x = 586,114.73

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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.