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Finding the Third Proportional to 80,148 and 113,922

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Solution

The third proportional to 80,148 and 113,922 is: 161,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148 : 113,922 = 113,922 : x
  2. Step 2: Convert to fraction form
    80,148/113,922 = 113,922/x
  3. Step 3: Cross multiply
    80,148x = 113,922 × 113,922
  4. Step 4: Simplify right side
    80,148x = 12,978,222,084
  5. Step 5: Solve for x
    x = 12,978,222,084/80,148
  6. Step 6: Final answer
    x = 161,928.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.