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Finding the Third Proportional to 126,640 and 267,584

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Solution

The third proportional to 126,640 and 267,584 is: 565,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,640 : 267,584 = 267,584 : x
  2. Step 2: Convert to fraction form
    126,640/267,584 = 267,584/x
  3. Step 3: Cross multiply
    126,640x = 267,584 × 267,584
  4. Step 4: Simplify right side
    126,640x = 71,601,197,056
  5. Step 5: Solve for x
    x = 71,601,197,056/126,640
  6. Step 6: Final answer
    x = 565,391.64

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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.