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Finding the Third Proportional to 41,069 and 86,431

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Solution

The third proportional to 41,069 and 86,431 is: 181,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,069 : 86,431 = 86,431 : x
  2. Step 2: Convert to fraction form
    41,069/86,431 = 86,431/x
  3. Step 3: Cross multiply
    41,069x = 86,431 × 86,431
  4. Step 4: Simplify right side
    41,069x = 7,470,317,761
  5. Step 5: Solve for x
    x = 7,470,317,761/41,069
  6. Step 6: Final answer
    x = 181,896.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.