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Finding the Third Proportional to 43,204 and 92,672

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Solution

The third proportional to 43,204 and 92,672 is: 198,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204 : 92,672 = 92,672 : x
  2. Step 2: Convert to fraction form
    43,204/92,672 = 92,672/x
  3. Step 3: Cross multiply
    43,204x = 92,672 × 92,672
  4. Step 4: Simplify right side
    43,204x = 8,588,099,584
  5. Step 5: Solve for x
    x = 8,588,099,584/43,204
  6. Step 6: Final answer
    x = 198,780.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.