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Finding the Third Proportional to 43,009 and 91,849

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Solution

The third proportional to 43,009 and 91,849 is: 196,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,009 : 91,849 = 91,849 : x
  2. Step 2: Convert to fraction form
    43,009/91,849 = 91,849/x
  3. Step 3: Cross multiply
    43,009x = 91,849 × 91,849
  4. Step 4: Simplify right side
    43,009x = 8,436,238,801
  5. Step 5: Solve for x
    x = 8,436,238,801/43,009
  6. Step 6: Final answer
    x = 196,150.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.