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Finding the Third Proportional to 123,020.75 and 184,531.25

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Solution

The third proportional to 123,020.75 and 184,531.25 is: 276,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,020.75 : 184,531.25 = 184,531.25 : x
  2. Step 2: Convert to fraction form
    123,020.75/184,531.25 = 184,531.25/x
  3. Step 3: Cross multiply
    123,020.75x = 184,531.25 × 184,531.25
  4. Step 4: Simplify right side
    123,020.75x = 34,051,782,226.56
  5. Step 5: Solve for x
    x = 34,051,782,226.56/123,020.75
  6. Step 6: Final answer
    x = 276,797.06

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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.