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Finding the Third Proportional to 84,212 and 184,249

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Solution

The third proportional to 84,212 and 184,249 is: 403,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212 : 184,249 = 184,249 : x
  2. Step 2: Convert to fraction form
    84,212/184,249 = 184,249/x
  3. Step 3: Cross multiply
    84,212x = 184,249 × 184,249
  4. Step 4: Simplify right side
    84,212x = 33,947,694,001
  5. Step 5: Solve for x
    x = 33,947,694,001/84,212
  6. Step 6: Final answer
    x = 403,121.81

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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.