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Finding the Third Proportional to 27,330 and 60,150

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Solution

The third proportional to 27,330 and 60,150 is: 132,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,330 : 60,150 = 60,150 : x
  2. Step 2: Convert to fraction form
    27,330/60,150 = 60,150/x
  3. Step 3: Cross multiply
    27,330x = 60,150 × 60,150
  4. Step 4: Simplify right side
    27,330x = 3,618,022,500
  5. Step 5: Solve for x
    x = 3,618,022,500/27,330
  6. Step 6: Final answer
    x = 132,382.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.