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Finding the Third Proportional to 50,206 and 107,084

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Solution

The third proportional to 50,206 and 107,084 is: 228,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206 : 107,084 = 107,084 : x
  2. Step 2: Convert to fraction form
    50,206/107,084 = 107,084/x
  3. Step 3: Cross multiply
    50,206x = 107,084 × 107,084
  4. Step 4: Simplify right side
    50,206x = 11,466,983,056
  5. Step 5: Solve for x
    x = 11,466,983,056/50,206
  6. Step 6: Final answer
    x = 228,398.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.