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Finding the Third Proportional to 121,960.69 and 184,659.75

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Solution

The third proportional to 121,960.69 and 184,659.75 is: 279,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,960.69 : 184,659.75 = 184,659.75 : x
  2. Step 2: Convert to fraction form
    121,960.69/184,659.75 = 184,659.75/x
  3. Step 3: Cross multiply
    121,960.69x = 184,659.75 × 184,659.75
  4. Step 4: Simplify right side
    121,960.69x = 34,099,223,270.06
  5. Step 5: Solve for x
    x = 34,099,223,270.06/121,960.69
  6. Step 6: Final answer
    x = 279,591.92

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