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Finding the Third Proportional to 120,118 and 184,249

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Solution

The third proportional to 120,118 and 184,249 is: 282,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,118 : 184,249 = 184,249 : x
  2. Step 2: Convert to fraction form
    120,118/184,249 = 184,249/x
  3. Step 3: Cross multiply
    120,118x = 184,249 × 184,249
  4. Step 4: Simplify right side
    120,118x = 33,947,694,001
  5. Step 5: Solve for x
    x = 33,947,694,001/120,118
  6. Step 6: Final answer
    x = 282,619.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.