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Finding the Third Proportional to 65,927 and 104,819

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Solution

The third proportional to 65,927 and 104,819 is: 166,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,927 : 104,819 = 104,819 : x
  2. Step 2: Convert to fraction form
    65,927/104,819 = 104,819/x
  3. Step 3: Cross multiply
    65,927x = 104,819 × 104,819
  4. Step 4: Simplify right side
    65,927x = 10,987,022,761
  5. Step 5: Solve for x
    x = 10,987,022,761/65,927
  6. Step 6: Final answer
    x = 166,654.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.