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Finding the Third Proportional to 41,696 and 91,696

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Solution

The third proportional to 41,696 and 91,696 is: 201,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,696 : 91,696 = 91,696 : x
  2. Step 2: Convert to fraction form
    41,696/91,696 = 91,696/x
  3. Step 3: Cross multiply
    41,696x = 91,696 × 91,696
  4. Step 4: Simplify right side
    41,696x = 8,408,156,416
  5. Step 5: Solve for x
    x = 8,408,156,416/41,696
  6. Step 6: Final answer
    x = 201,653.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.