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Finding the Third Proportional to 40,016 and 92,642

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Solution

The third proportional to 40,016 and 92,642 is: 214,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,016 : 92,642 = 92,642 : x
  2. Step 2: Convert to fraction form
    40,016/92,642 = 92,642/x
  3. Step 3: Cross multiply
    40,016x = 92,642 × 92,642
  4. Step 4: Simplify right side
    40,016x = 8,582,540,164
  5. Step 5: Solve for x
    x = 8,582,540,164/40,016
  6. Step 6: Final answer
    x = 214,477.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.