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Finding the Third Proportional to 123,971.77 and 184,134.52

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Solution

The third proportional to 123,971.77 and 184,134.52 is: 273,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,971.77 : 184,134.52 = 184,134.52 : x
  2. Step 2: Convert to fraction form
    123,971.77/184,134.52 = 184,134.52/x
  3. Step 3: Cross multiply
    123,971.77x = 184,134.52 × 184,134.52
  4. Step 4: Simplify right side
    123,971.77x = 33,905,519,844.45
  5. Step 5: Solve for x
    x = 33,905,519,844.45/123,971.77
  6. Step 6: Final answer
    x = 273,493.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.