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Finding the Third Proportional to 80,997 and 114,011

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Solution

The third proportional to 80,997 and 114,011 is: 160,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,997 : 114,011 = 114,011 : x
  2. Step 2: Convert to fraction form
    80,997/114,011 = 114,011/x
  3. Step 3: Cross multiply
    80,997x = 114,011 × 114,011
  4. Step 4: Simplify right side
    80,997x = 12,998,508,121
  5. Step 5: Solve for x
    x = 12,998,508,121/80,997
  6. Step 6: Final answer
    x = 160,481.35

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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.