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Finding the Third Proportional to 73,132 and 159,662

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Solution

The third proportional to 73,132 and 159,662 is: 348,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132 : 159,662 = 159,662 : x
  2. Step 2: Convert to fraction form
    73,132/159,662 = 159,662/x
  3. Step 3: Cross multiply
    73,132x = 159,662 × 159,662
  4. Step 4: Simplify right side
    73,132x = 25,491,954,244
  5. Step 5: Solve for x
    x = 25,491,954,244/73,132
  6. Step 6: Final answer
    x = 348,574.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.