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Finding the Third Proportional to 49,992 and 107,760

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Solution

The third proportional to 49,992 and 107,760 is: 232,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,992 : 107,760 = 107,760 : x
  2. Step 2: Convert to fraction form
    49,992/107,760 = 107,760/x
  3. Step 3: Cross multiply
    49,992x = 107,760 × 107,760
  4. Step 4: Simplify right side
    49,992x = 11,612,217,600
  5. Step 5: Solve for x
    x = 11,612,217,600/49,992
  6. Step 6: Final answer
    x = 232,281.52

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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.