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Finding the Third Proportional to 106,792 and 226,752

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Solution

The third proportional to 106,792 and 226,752 is: 481,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,792 : 226,752 = 226,752 : x
  2. Step 2: Convert to fraction form
    106,792/226,752 = 226,752/x
  3. Step 3: Cross multiply
    106,792x = 226,752 × 226,752
  4. Step 4: Simplify right side
    106,792x = 51,416,469,504
  5. Step 5: Solve for x
    x = 51,416,469,504/106,792
  6. Step 6: Final answer
    x = 481,463.68

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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.