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Finding the Third Proportional to 126,114.50 and 267,601

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Solution

The third proportional to 126,114.50 and 267,601 is: 567,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,114.50 : 267,601 = 267,601 : x
  2. Step 2: Convert to fraction form
    126,114.50/267,601 = 267,601/x
  3. Step 3: Cross multiply
    126,114.50x = 267,601 × 267,601
  4. Step 4: Simplify right side
    126,114.50x = 71,610,295,201
  5. Step 5: Solve for x
    x = 71,610,295,201/126,114.50
  6. Step 6: Final answer
    x = 567,819.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.