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Finding the Third Proportional to 126,314 and 267,124

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Solution

The third proportional to 126,314 and 267,124 is: 564,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,314 : 267,124 = 267,124 : x
  2. Step 2: Convert to fraction form
    126,314/267,124 = 267,124/x
  3. Step 3: Cross multiply
    126,314x = 267,124 × 267,124
  4. Step 4: Simplify right side
    126,314x = 71,355,231,376
  5. Step 5: Solve for x
    x = 71,355,231,376/126,314
  6. Step 6: Final answer
    x = 564,903.58

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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.