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Finding the Third Proportional to 50,105 and 74,914

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Solution

The third proportional to 50,105 and 74,914 is: 112,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,105 : 74,914 = 74,914 : x
  2. Step 2: Convert to fraction form
    50,105/74,914 = 74,914/x
  3. Step 3: Cross multiply
    50,105x = 74,914 × 74,914
  4. Step 4: Simplify right side
    50,105x = 5,612,107,396
  5. Step 5: Solve for x
    x = 5,612,107,396/50,105
  6. Step 6: Final answer
    x = 112,006.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.