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Finding the Third Proportional to 43,098 and 92,757

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Solution

The third proportional to 43,098 and 92,757 is: 199,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098 : 92,757 = 92,757 : x
  2. Step 2: Convert to fraction form
    43,098/92,757 = 92,757/x
  3. Step 3: Cross multiply
    43,098x = 92,757 × 92,757
  4. Step 4: Simplify right side
    43,098x = 8,603,861,049
  5. Step 5: Solve for x
    x = 8,603,861,049/43,098
  6. Step 6: Final answer
    x = 199,634.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.