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Finding the Third Proportional to 81,001 and 166,010

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Solution

The third proportional to 81,001 and 166,010 is: 340,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,001 : 166,010 = 166,010 : x
  2. Step 2: Convert to fraction form
    81,001/166,010 = 166,010/x
  3. Step 3: Cross multiply
    81,001x = 166,010 × 166,010
  4. Step 4: Simplify right side
    81,001x = 27,559,320,100
  5. Step 5: Solve for x
    x = 27,559,320,100/81,001
  6. Step 6: Final answer
    x = 340,234.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.