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Finding the Third Proportional to 80,158 and 173,034

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Solution

The third proportional to 80,158 and 173,034 is: 373,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,158 : 173,034 = 173,034 : x
  2. Step 2: Convert to fraction form
    80,158/173,034 = 173,034/x
  3. Step 3: Cross multiply
    80,158x = 173,034 × 173,034
  4. Step 4: Simplify right side
    80,158x = 29,940,765,156
  5. Step 5: Solve for x
    x = 29,940,765,156/80,158
  6. Step 6: Final answer
    x = 373,521.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.