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Finding the Third Proportional to 43,100 and 92,761

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Solution

The third proportional to 43,100 and 92,761 is: 199,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,100 : 92,761 = 92,761 : x
  2. Step 2: Convert to fraction form
    43,100/92,761 = 92,761/x
  3. Step 3: Cross multiply
    43,100x = 92,761 × 92,761
  4. Step 4: Simplify right side
    43,100x = 8,604,603,121
  5. Step 5: Solve for x
    x = 8,604,603,121/43,100
  6. Step 6: Final answer
    x = 199,642.76

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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.