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Finding the Third Proportional to 123,073.50 and 184,404

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Solution

The third proportional to 123,073.50 and 184,404 is: 276,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,073.50 : 184,404 = 184,404 : x
  2. Step 2: Convert to fraction form
    123,073.50/184,404 = 184,404/x
  3. Step 3: Cross multiply
    123,073.50x = 184,404 × 184,404
  4. Step 4: Simplify right side
    123,073.50x = 34,004,835,216
  5. Step 5: Solve for x
    x = 34,004,835,216/123,073.50
  6. Step 6: Final answer
    x = 276,296.97

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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.