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Finding the Third Proportional to 50,108 and 75,004

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Solution

The third proportional to 50,108 and 75,004 is: 112,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,108 : 75,004 = 75,004 : x
  2. Step 2: Convert to fraction form
    50,108/75,004 = 75,004/x
  3. Step 3: Cross multiply
    50,108x = 75,004 × 75,004
  4. Step 4: Simplify right side
    50,108x = 5,625,600,016
  5. Step 5: Solve for x
    x = 5,625,600,016/50,108
  6. Step 6: Final answer
    x = 112,269.50

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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.