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Finding the Third Proportional to 50,318 and 107,682

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Solution

The third proportional to 50,318 and 107,682 is: 230,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,318 : 107,682 = 107,682 : x
  2. Step 2: Convert to fraction form
    50,318/107,682 = 107,682/x
  3. Step 3: Cross multiply
    50,318x = 107,682 × 107,682
  4. Step 4: Simplify right side
    50,318x = 11,595,413,124
  5. Step 5: Solve for x
    x = 11,595,413,124/50,318
  6. Step 6: Final answer
    x = 230,442.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.