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Finding the Third Proportional to 43,081 and 94,163

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Solution

The third proportional to 43,081 and 94,163 is: 205,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,081 : 94,163 = 94,163 : x
  2. Step 2: Convert to fraction form
    43,081/94,163 = 94,163/x
  3. Step 3: Cross multiply
    43,081x = 94,163 × 94,163
  4. Step 4: Simplify right side
    43,081x = 8,866,670,569
  5. Step 5: Solve for x
    x = 8,866,670,569/43,081
  6. Step 6: Final answer
    x = 205,813.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.