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Finding the Third Proportional to 106,832 and 154,736

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Solution

The third proportional to 106,832 and 154,736 is: 224,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,832 : 154,736 = 154,736 : x
  2. Step 2: Convert to fraction form
    106,832/154,736 = 154,736/x
  3. Step 3: Cross multiply
    106,832x = 154,736 × 154,736
  4. Step 4: Simplify right side
    106,832x = 23,943,229,696
  5. Step 5: Solve for x
    x = 23,943,229,696/106,832
  6. Step 6: Final answer
    x = 224,120.39

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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.