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Finding the Third Proportional to 106,676 and 160,844

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Solution

The third proportional to 106,676 and 160,844 is: 242,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,676 : 160,844 = 160,844 : x
  2. Step 2: Convert to fraction form
    106,676/160,844 = 160,844/x
  3. Step 3: Cross multiply
    106,676x = 160,844 × 160,844
  4. Step 4: Simplify right side
    106,676x = 25,870,792,336
  5. Step 5: Solve for x
    x = 25,870,792,336/106,676
  6. Step 6: Final answer
    x = 242,517.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.