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Finding the Third Proportional to 107,006 and 227,836

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Solution

The third proportional to 107,006 and 227,836 is: 485,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,006 : 227,836 = 227,836 : x
  2. Step 2: Convert to fraction form
    107,006/227,836 = 227,836/x
  3. Step 3: Cross multiply
    107,006x = 227,836 × 227,836
  4. Step 4: Simplify right side
    107,006x = 51,909,242,896
  5. Step 5: Solve for x
    x = 51,909,242,896/107,006
  6. Step 6: Final answer
    x = 485,105.91

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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.