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Finding the Third Proportional to 32,279 and 71,083

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Solution

The third proportional to 32,279 and 71,083 is: 156,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279 : 71,083 = 71,083 : x
  2. Step 2: Convert to fraction form
    32,279/71,083 = 71,083/x
  3. Step 3: Cross multiply
    32,279x = 71,083 × 71,083
  4. Step 4: Simplify right side
    32,279x = 5,052,792,889
  5. Step 5: Solve for x
    x = 5,052,792,889/32,279
  6. Step 6: Final answer
    x = 156,534.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.