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Finding the Third Proportional to 43,927 and 106,165

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Solution

The third proportional to 43,927 and 106,165 is: 256,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,927 : 106,165 = 106,165 : x
  2. Step 2: Convert to fraction form
    43,927/106,165 = 106,165/x
  3. Step 3: Cross multiply
    43,927x = 106,165 × 106,165
  4. Step 4: Simplify right side
    43,927x = 11,271,007,225
  5. Step 5: Solve for x
    x = 11,271,007,225/43,927
  6. Step 6: Final answer
    x = 256,584.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.