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Finding the Third Proportional to 106,828 and 154,734

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Solution

The third proportional to 106,828 and 154,734 is: 224,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,828 : 154,734 = 154,734 : x
  2. Step 2: Convert to fraction form
    106,828/154,734 = 154,734/x
  3. Step 3: Cross multiply
    106,828x = 154,734 × 154,734
  4. Step 4: Simplify right side
    106,828x = 23,942,610,756
  5. Step 5: Solve for x
    x = 23,942,610,756/106,828
  6. Step 6: Final answer
    x = 224,122.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.