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Finding the Third Proportional to 126,411 and 267,078

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Solution

The third proportional to 126,411 and 267,078 is: 564,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,411 : 267,078 = 267,078 : x
  2. Step 2: Convert to fraction form
    126,411/267,078 = 267,078/x
  3. Step 3: Cross multiply
    126,411x = 267,078 × 267,078
  4. Step 4: Simplify right side
    126,411x = 71,330,658,084
  5. Step 5: Solve for x
    x = 71,330,658,084/126,411
  6. Step 6: Final answer
    x = 564,275.72

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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.