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Finding the Third Proportional to 50,849 and 75,235

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Solution

The third proportional to 50,849 and 75,235 is: 111,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,849 : 75,235 = 75,235 : x
  2. Step 2: Convert to fraction form
    50,849/75,235 = 75,235/x
  3. Step 3: Cross multiply
    50,849x = 75,235 × 75,235
  4. Step 4: Simplify right side
    50,849x = 5,660,305,225
  5. Step 5: Solve for x
    x = 5,660,305,225/50,849
  6. Step 6: Final answer
    x = 111,315.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.