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Finding the Third Proportional to 131,013 and 267,516

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Solution

The third proportional to 131,013 and 267,516 is: 546,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,013 : 267,516 = 267,516 : x
  2. Step 2: Convert to fraction form
    131,013/267,516 = 267,516/x
  3. Step 3: Cross multiply
    131,013x = 267,516 × 267,516
  4. Step 4: Simplify right side
    131,013x = 71,564,810,256
  5. Step 5: Solve for x
    x = 71,564,810,256/131,013
  6. Step 6: Final answer
    x = 546,242.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.