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Finding the Third Proportional to 27,723 and 60,185

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Solution

The third proportional to 27,723 and 60,185 is: 130,658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723 : 60,185 = 60,185 : x
  2. Step 2: Convert to fraction form
    27,723/60,185 = 60,185/x
  3. Step 3: Cross multiply
    27,723x = 60,185 × 60,185
  4. Step 4: Simplify right side
    27,723x = 3,622,234,225
  5. Step 5: Solve for x
    x = 3,622,234,225/27,723
  6. Step 6: Final answer
    x = 130,658.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.