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Finding the Third Proportional to 106,839 and 227,976

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Solution

The third proportional to 106,839 and 227,976 is: 486,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,839 : 227,976 = 227,976 : x
  2. Step 2: Convert to fraction form
    106,839/227,976 = 227,976/x
  3. Step 3: Cross multiply
    106,839x = 227,976 × 227,976
  4. Step 4: Simplify right side
    106,839x = 51,973,056,576
  5. Step 5: Solve for x
    x = 51,973,056,576/106,839
  6. Step 6: Final answer
    x = 486,461.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.