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Finding the Third Proportional to 49,699 and 107,812

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Solution

The third proportional to 49,699 and 107,812 is: 233,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,699 : 107,812 = 107,812 : x
  2. Step 2: Convert to fraction form
    49,699/107,812 = 107,812/x
  3. Step 3: Cross multiply
    49,699x = 107,812 × 107,812
  4. Step 4: Simplify right side
    49,699x = 11,623,427,344
  5. Step 5: Solve for x
    x = 11,623,427,344/49,699
  6. Step 6: Final answer
    x = 233,876.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.