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Finding the Third Proportional to 50,206 and 109,158

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Solution

The third proportional to 50,206 and 109,158 is: 237,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206 : 109,158 = 109,158 : x
  2. Step 2: Convert to fraction form
    50,206/109,158 = 109,158/x
  3. Step 3: Cross multiply
    50,206x = 109,158 × 109,158
  4. Step 4: Simplify right side
    50,206x = 11,915,468,964
  5. Step 5: Solve for x
    x = 11,915,468,964/50,206
  6. Step 6: Final answer
    x = 237,331.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.