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Finding the Third Proportional to 71,933 and 158,142

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Solution

The third proportional to 71,933 and 158,142 is: 347,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,933 : 158,142 = 158,142 : x
  2. Step 2: Convert to fraction form
    71,933/158,142 = 158,142/x
  3. Step 3: Cross multiply
    71,933x = 158,142 × 158,142
  4. Step 4: Simplify right side
    71,933x = 25,008,892,164
  5. Step 5: Solve for x
    x = 25,008,892,164/71,933
  6. Step 6: Final answer
    x = 347,669.25

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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.