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Finding the Third Proportional to 123,019.82 and 184,529.73

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Solution

The third proportional to 123,019.82 and 184,529.73 is: 276,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,019.82 : 184,529.73 = 184,529.73 : x
  2. Step 2: Convert to fraction form
    123,019.82/184,529.73 = 184,529.73/x
  3. Step 3: Cross multiply
    123,019.82x = 184,529.73 × 184,529.73
  4. Step 4: Simplify right side
    123,019.82x = 34,051,220,075.33
  5. Step 5: Solve for x
    x = 34,051,220,075.33/123,019.82
  6. Step 6: Final answer
    x = 276,794.59

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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.