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Finding the Third Proportional to 50,165 and 118,415

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Solution

The third proportional to 50,165 and 118,415 is: 279,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,165 : 118,415 = 118,415 : x
  2. Step 2: Convert to fraction form
    50,165/118,415 = 118,415/x
  3. Step 3: Cross multiply
    50,165x = 118,415 × 118,415
  4. Step 4: Simplify right side
    50,165x = 14,022,112,225
  5. Step 5: Solve for x
    x = 14,022,112,225/50,165
  6. Step 6: Final answer
    x = 279,519.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.