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Finding the Third Proportional to 123,077.25 and 184,407.75

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Solution

The third proportional to 123,077.25 and 184,407.75 is: 276,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,077.25 : 184,407.75 = 184,407.75 : x
  2. Step 2: Convert to fraction form
    123,077.25/184,407.75 = 184,407.75/x
  3. Step 3: Cross multiply
    123,077.25x = 184,407.75 × 184,407.75
  4. Step 4: Simplify right side
    123,077.25x = 34,006,218,260.06
  5. Step 5: Solve for x
    x = 34,006,218,260.06/123,077.25
  6. Step 6: Final answer
    x = 276,299.79

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Why These Related Problems?

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