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Finding the Third Proportional to 123,003 and 184,504.50

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Solution

The third proportional to 123,003 and 184,504.50 is: 276,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,003 : 184,504.50 = 184,504.50 : x
  2. Step 2: Convert to fraction form
    123,003/184,504.50 = 184,504.50/x
  3. Step 3: Cross multiply
    123,003x = 184,504.50 × 184,504.50
  4. Step 4: Simplify right side
    123,003x = 34,041,910,520.25
  5. Step 5: Solve for x
    x = 34,041,910,520.25/123,003
  6. Step 6: Final answer
    x = 276,756.75

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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.