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Finding the Third Proportional to 47,872 and 97,696

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Solution

The third proportional to 47,872 and 97,696 is: 199,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872 : 97,696 = 97,696 : x
  2. Step 2: Convert to fraction form
    47,872/97,696 = 97,696/x
  3. Step 3: Cross multiply
    47,872x = 97,696 × 97,696
  4. Step 4: Simplify right side
    47,872x = 9,544,508,416
  5. Step 5: Solve for x
    x = 9,544,508,416/47,872
  6. Step 6: Final answer
    x = 199,375.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.