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Finding the Third Proportional to 49,696 and 107,806

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Solution

The third proportional to 49,696 and 107,806 is: 233,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696 : 107,806 = 107,806 : x
  2. Step 2: Convert to fraction form
    49,696/107,806 = 107,806/x
  3. Step 3: Cross multiply
    49,696x = 107,806 × 107,806
  4. Step 4: Simplify right side
    49,696x = 11,622,133,636
  5. Step 5: Solve for x
    x = 11,622,133,636/49,696
  6. Step 6: Final answer
    x = 233,864.57

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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.