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Finding the Third Proportional to 123,072.75 and 184,404.09

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Solution

The third proportional to 123,072.75 and 184,404.09 is: 276,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,072.75 : 184,404.09 = 184,404.09 : x
  2. Step 2: Convert to fraction form
    123,072.75/184,404.09 = 184,404.09/x
  3. Step 3: Cross multiply
    123,072.75x = 184,404.09 × 184,404.09
  4. Step 4: Simplify right side
    123,072.75x = 34,004,869,791.76
  5. Step 5: Solve for x
    x = 34,004,869,791.76/123,072.75
  6. Step 6: Final answer
    x = 276,298.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.