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Finding the Third Proportional to 49,540 and 106,975

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Solution

The third proportional to 49,540 and 106,975 is: 230,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,540 : 106,975 = 106,975 : x
  2. Step 2: Convert to fraction form
    49,540/106,975 = 106,975/x
  3. Step 3: Cross multiply
    49,540x = 106,975 × 106,975
  4. Step 4: Simplify right side
    49,540x = 11,443,650,625
  5. Step 5: Solve for x
    x = 11,443,650,625/49,540
  6. Step 6: Final answer
    x = 230,998.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.