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Finding the Third Proportional to 123,000 and 184,500

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Solution

The third proportional to 123,000 and 184,500 is: 276,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,000 : 184,500 = 184,500 : x
  2. Step 2: Convert to fraction form
    123,000/184,500 = 184,500/x
  3. Step 3: Cross multiply
    123,000x = 184,500 × 184,500
  4. Step 4: Simplify right side
    123,000x = 34,040,250,000
  5. Step 5: Solve for x
    x = 34,040,250,000/123,000
  6. Step 6: Final answer
    x = 276,750

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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.