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Finding the Third Proportional to 43,843 and 106,009

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Solution

The third proportional to 43,843 and 106,009 is: 256,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,843 : 106,009 = 106,009 : x
  2. Step 2: Convert to fraction form
    43,843/106,009 = 106,009/x
  3. Step 3: Cross multiply
    43,843x = 106,009 × 106,009
  4. Step 4: Simplify right side
    43,843x = 11,237,908,081
  5. Step 5: Solve for x
    x = 11,237,908,081/43,843
  6. Step 6: Final answer
    x = 256,321.60

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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.