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Finding the Third Proportional to 40,096 and 92,416

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Solution

The third proportional to 40,096 and 92,416 is: 213,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,096 : 92,416 = 92,416 : x
  2. Step 2: Convert to fraction form
    40,096/92,416 = 92,416/x
  3. Step 3: Cross multiply
    40,096x = 92,416 × 92,416
  4. Step 4: Simplify right side
    40,096x = 8,540,717,056
  5. Step 5: Solve for x
    x = 8,540,717,056/40,096
  6. Step 6: Final answer
    x = 213,006.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.