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Finding the Third Proportional to 44,696 and 110,204

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Solution

The third proportional to 44,696 and 110,204 is: 271,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,696 : 110,204 = 110,204 : x
  2. Step 2: Convert to fraction form
    44,696/110,204 = 110,204/x
  3. Step 3: Cross multiply
    44,696x = 110,204 × 110,204
  4. Step 4: Simplify right side
    44,696x = 12,144,921,616
  5. Step 5: Solve for x
    x = 12,144,921,616/44,696
  6. Step 6: Final answer
    x = 271,722.79

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.