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Finding the Third Proportional to 50,238 and 68,415

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Solution

The third proportional to 50,238 and 68,415 is: 93,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,238 : 68,415 = 68,415 : x
  2. Step 2: Convert to fraction form
    50,238/68,415 = 68,415/x
  3. Step 3: Cross multiply
    50,238x = 68,415 × 68,415
  4. Step 4: Simplify right side
    50,238x = 4,680,612,225
  5. Step 5: Solve for x
    x = 4,680,612,225/50,238
  6. Step 6: Final answer
    x = 93,168.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.