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Finding the Third Proportional to 110,198 and 163,676

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Solution

The third proportional to 110,198 and 163,676 is: 243,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,198 : 163,676 = 163,676 : x
  2. Step 2: Convert to fraction form
    110,198/163,676 = 163,676/x
  3. Step 3: Cross multiply
    110,198x = 163,676 × 163,676
  4. Step 4: Simplify right side
    110,198x = 26,789,832,976
  5. Step 5: Solve for x
    x = 26,789,832,976/110,198
  6. Step 6: Final answer
    x = 243,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.