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Finding the Third Proportional to 41,723 and 86,899

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Solution

The third proportional to 41,723 and 86,899 is: 180,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,723 : 86,899 = 86,899 : x
  2. Step 2: Convert to fraction form
    41,723/86,899 = 86,899/x
  3. Step 3: Cross multiply
    41,723x = 86,899 × 86,899
  4. Step 4: Simplify right side
    41,723x = 7,551,436,201
  5. Step 5: Solve for x
    x = 7,551,436,201/41,723
  6. Step 6: Final answer
    x = 180,989.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.