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Finding the Third Proportional to 121,851.50 and 267,242

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Solution

The third proportional to 121,851.50 and 267,242 is: 586,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,851.50 : 267,242 = 267,242 : x
  2. Step 2: Convert to fraction form
    121,851.50/267,242 = 267,242/x
  3. Step 3: Cross multiply
    121,851.50x = 267,242 × 267,242
  4. Step 4: Simplify right side
    121,851.50x = 71,418,286,564
  5. Step 5: Solve for x
    x = 71,418,286,564/121,851.50
  6. Step 6: Final answer
    x = 586,109.21

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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.