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Finding the Third Proportional to 67,650.50 and 146,027

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Solution

The third proportional to 67,650.50 and 146,027 is: 315,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,650.50 : 146,027 = 146,027 : x
  2. Step 2: Convert to fraction form
    67,650.50/146,027 = 146,027/x
  3. Step 3: Cross multiply
    67,650.50x = 146,027 × 146,027
  4. Step 4: Simplify right side
    67,650.50x = 21,323,884,729
  5. Step 5: Solve for x
    x = 21,323,884,729/67,650.50
  6. Step 6: Final answer
    x = 315,206.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.