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Finding the Third Proportional to 71,928 and 158,132

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Solution

The third proportional to 71,928 and 158,132 is: 347,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,928 : 158,132 = 158,132 : x
  2. Step 2: Convert to fraction form
    71,928/158,132 = 158,132/x
  3. Step 3: Cross multiply
    71,928x = 158,132 × 158,132
  4. Step 4: Simplify right side
    71,928x = 25,005,729,424
  5. Step 5: Solve for x
    x = 25,005,729,424/71,928
  6. Step 6: Final answer
    x = 347,649.45

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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.