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Finding the Third Proportional to 43,638 and 92,469

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Solution

The third proportional to 43,638 and 92,469 is: 195,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 92,469 = 92,469 : x
  2. Step 2: Convert to fraction form
    43,638/92,469 = 92,469/x
  3. Step 3: Cross multiply
    43,638x = 92,469 × 92,469
  4. Step 4: Simplify right side
    43,638x = 8,550,515,961
  5. Step 5: Solve for x
    x = 8,550,515,961/43,638
  6. Step 6: Final answer
    x = 195,941.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.