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Finding the Third Proportional to 50,683 and 107,927

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Solution

The third proportional to 50,683 and 107,927 is: 229,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,683 : 107,927 = 107,927 : x
  2. Step 2: Convert to fraction form
    50,683/107,927 = 107,927/x
  3. Step 3: Cross multiply
    50,683x = 107,927 × 107,927
  4. Step 4: Simplify right side
    50,683x = 11,648,237,329
  5. Step 5: Solve for x
    x = 11,648,237,329/50,683
  6. Step 6: Final answer
    x = 229,825.33

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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.