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Finding the Third Proportional to 50,714 and 107,092

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Solution

The third proportional to 50,714 and 107,092 is: 226,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714 : 107,092 = 107,092 : x
  2. Step 2: Convert to fraction form
    50,714/107,092 = 107,092/x
  3. Step 3: Cross multiply
    50,714x = 107,092 × 107,092
  4. Step 4: Simplify right side
    50,714x = 11,468,696,464
  5. Step 5: Solve for x
    x = 11,468,696,464/50,714
  6. Step 6: Final answer
    x = 226,144.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.