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Finding the Third Proportional to 110,863 and 197,102

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Solution

The third proportional to 110,863 and 197,102 is: 350,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,863 : 197,102 = 197,102 : x
  2. Step 2: Convert to fraction form
    110,863/197,102 = 197,102/x
  3. Step 3: Cross multiply
    110,863x = 197,102 × 197,102
  4. Step 4: Simplify right side
    110,863x = 38,849,198,404
  5. Step 5: Solve for x
    x = 38,849,198,404/110,863
  6. Step 6: Final answer
    x = 350,425.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.