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Finding the Third Proportional to 49,760 and 106,924

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Solution

The third proportional to 49,760 and 106,924 is: 229,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,760 : 106,924 = 106,924 : x
  2. Step 2: Convert to fraction form
    49,760/106,924 = 106,924/x
  3. Step 3: Cross multiply
    49,760x = 106,924 × 106,924
  4. Step 4: Simplify right side
    49,760x = 11,432,741,776
  5. Step 5: Solve for x
    x = 11,432,741,776/49,760
  6. Step 6: Final answer
    x = 229,757.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.