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Finding the Third Proportional to 49,232 and 106,227

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Solution

The third proportional to 49,232 and 106,227 is: 229,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232 : 106,227 = 106,227 : x
  2. Step 2: Convert to fraction form
    49,232/106,227 = 106,227/x
  3. Step 3: Cross multiply
    49,232x = 106,227 × 106,227
  4. Step 4: Simplify right side
    49,232x = 11,284,175,529
  5. Step 5: Solve for x
    x = 11,284,175,529/49,232
  6. Step 6: Final answer
    x = 229,204.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.