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Finding the Third Proportional to 121,558 and 184,016

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Solution

The third proportional to 121,558 and 184,016 is: 278,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,558 : 184,016 = 184,016 : x
  2. Step 2: Convert to fraction form
    121,558/184,016 = 184,016/x
  3. Step 3: Cross multiply
    121,558x = 184,016 × 184,016
  4. Step 4: Simplify right side
    121,558x = 33,861,888,256
  5. Step 5: Solve for x
    x = 33,861,888,256/121,558
  6. Step 6: Final answer
    x = 278,565.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.