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Finding the Third Proportional to 33,262 and 71,396

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Solution

The third proportional to 33,262 and 71,396 is: 153,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,262 : 71,396 = 71,396 : x
  2. Step 2: Convert to fraction form
    33,262/71,396 = 71,396/x
  3. Step 3: Cross multiply
    33,262x = 71,396 × 71,396
  4. Step 4: Simplify right side
    33,262x = 5,097,388,816
  5. Step 5: Solve for x
    x = 5,097,388,816/33,262
  6. Step 6: Final answer
    x = 153,249.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.