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Finding the Third Proportional to 110,904 and 156,204

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Solution

The third proportional to 110,904 and 156,204 is: 220,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,904 : 156,204 = 156,204 : x
  2. Step 2: Convert to fraction form
    110,904/156,204 = 156,204/x
  3. Step 3: Cross multiply
    110,904x = 156,204 × 156,204
  4. Step 4: Simplify right side
    110,904x = 24,399,689,616
  5. Step 5: Solve for x
    x = 24,399,689,616/110,904
  6. Step 6: Final answer
    x = 220,007.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.