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Finding the Third Proportional to 106,772 and 226,713

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Solution

The third proportional to 106,772 and 226,713 is: 481,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,772 : 226,713 = 226,713 : x
  2. Step 2: Convert to fraction form
    106,772/226,713 = 226,713/x
  3. Step 3: Cross multiply
    106,772x = 226,713 × 226,713
  4. Step 4: Simplify right side
    106,772x = 51,398,784,369
  5. Step 5: Solve for x
    x = 51,398,784,369/106,772
  6. Step 6: Final answer
    x = 481,388.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.