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Finding the Third Proportional to 43,771 and 66,174

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Solution

The third proportional to 43,771 and 66,174 is: 100,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,771 : 66,174 = 66,174 : x
  2. Step 2: Convert to fraction form
    43,771/66,174 = 66,174/x
  3. Step 3: Cross multiply
    43,771x = 66,174 × 66,174
  4. Step 4: Simplify right side
    43,771x = 4,378,998,276
  5. Step 5: Solve for x
    x = 4,378,998,276/43,771
  6. Step 6: Final answer
    x = 100,043.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.