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Finding the Third Proportional to 49,867 and 75,392

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Solution

The third proportional to 49,867 and 75,392 is: 113,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,867 : 75,392 = 75,392 : x
  2. Step 2: Convert to fraction form
    49,867/75,392 = 75,392/x
  3. Step 3: Cross multiply
    49,867x = 75,392 × 75,392
  4. Step 4: Simplify right side
    49,867x = 5,683,953,664
  5. Step 5: Solve for x
    x = 5,683,953,664/49,867
  6. Step 6: Final answer
    x = 113,982.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.