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Finding the Third Proportional to 49,542 and 106,980

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Solution

The third proportional to 49,542 and 106,980 is: 231,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542 : 106,980 = 106,980 : x
  2. Step 2: Convert to fraction form
    49,542/106,980 = 106,980/x
  3. Step 3: Cross multiply
    49,542x = 106,980 × 106,980
  4. Step 4: Simplify right side
    49,542x = 11,444,720,400
  5. Step 5: Solve for x
    x = 11,444,720,400/49,542
  6. Step 6: Final answer
    x = 231,010.46

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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.