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Finding the Third Proportional to 71,566 and 107,834

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Solution

The third proportional to 71,566 and 107,834 is: 162,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566 : 107,834 = 107,834 : x
  2. Step 2: Convert to fraction form
    71,566/107,834 = 107,834/x
  3. Step 3: Cross multiply
    71,566x = 107,834 × 107,834
  4. Step 4: Simplify right side
    71,566x = 11,628,171,556
  5. Step 5: Solve for x
    x = 11,628,171,556/71,566
  6. Step 6: Final answer
    x = 162,481.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.