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Finding the Third Proportional to 27,162 and 60,615

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Solution

The third proportional to 27,162 and 60,615 is: 135,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162 : 60,615 = 60,615 : x
  2. Step 2: Convert to fraction form
    27,162/60,615 = 60,615/x
  3. Step 3: Cross multiply
    27,162x = 60,615 × 60,615
  4. Step 4: Simplify right side
    27,162x = 3,674,178,225
  5. Step 5: Solve for x
    x = 3,674,178,225/27,162
  6. Step 6: Final answer
    x = 135,269.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.