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Finding the Third Proportional to 122,195.25 and 184,074.75

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Solution

The third proportional to 122,195.25 and 184,074.75 is: 277,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,195.25 : 184,074.75 = 184,074.75 : x
  2. Step 2: Convert to fraction form
    122,195.25/184,074.75 = 184,074.75/x
  3. Step 3: Cross multiply
    122,195.25x = 184,074.75 × 184,074.75
  4. Step 4: Simplify right side
    122,195.25x = 33,883,513,587.56
  5. Step 5: Solve for x
    x = 33,883,513,587.56/122,195.25
  6. Step 6: Final answer
    x = 277,289.94

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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.