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Finding the Third Proportional to 71,932 and 158,140

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Solution

The third proportional to 71,932 and 158,140 is: 347,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,932 : 158,140 = 158,140 : x
  2. Step 2: Convert to fraction form
    71,932/158,140 = 158,140/x
  3. Step 3: Cross multiply
    71,932x = 158,140 × 158,140
  4. Step 4: Simplify right side
    71,932x = 25,008,259,600
  5. Step 5: Solve for x
    x = 25,008,259,600/71,932
  6. Step 6: Final answer
    x = 347,665.29

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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.