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Finding the Third Proportional to 126,692 and 267,688

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Solution

The third proportional to 126,692 and 267,688 is: 565,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,692 : 267,688 = 267,688 : x
  2. Step 2: Convert to fraction form
    126,692/267,688 = 267,688/x
  3. Step 3: Cross multiply
    126,692x = 267,688 × 267,688
  4. Step 4: Simplify right side
    126,692x = 71,656,865,344
  5. Step 5: Solve for x
    x = 71,656,865,344/126,692
  6. Step 6: Final answer
    x = 565,598.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.