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Finding the Third Proportional to 123,583.50 and 184,950

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Solution

The third proportional to 123,583.50 and 184,950 is: 276,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,583.50 : 184,950 = 184,950 : x
  2. Step 2: Convert to fraction form
    123,583.50/184,950 = 184,950/x
  3. Step 3: Cross multiply
    123,583.50x = 184,950 × 184,950
  4. Step 4: Simplify right side
    123,583.50x = 34,206,502,500
  5. Step 5: Solve for x
    x = 34,206,502,500/123,583.50
  6. Step 6: Final answer
    x = 276,788.59

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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.