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Finding the Third Proportional to 50,104 and 75,017

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Solution

The third proportional to 50,104 and 75,017 is: 112,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,104 : 75,017 = 75,017 : x
  2. Step 2: Convert to fraction form
    50,104/75,017 = 75,017/x
  3. Step 3: Cross multiply
    50,104x = 75,017 × 75,017
  4. Step 4: Simplify right side
    50,104x = 5,627,550,289
  5. Step 5: Solve for x
    x = 5,627,550,289/50,104
  6. Step 6: Final answer
    x = 112,317.39

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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.