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Finding the Third Proportional to 50,524 and 76,487

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Solution

The third proportional to 50,524 and 76,487 is: 115,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524 : 76,487 = 76,487 : x
  2. Step 2: Convert to fraction form
    50,524/76,487 = 76,487/x
  3. Step 3: Cross multiply
    50,524x = 76,487 × 76,487
  4. Step 4: Simplify right side
    50,524x = 5,850,261,169
  5. Step 5: Solve for x
    x = 5,850,261,169/50,524
  6. Step 6: Final answer
    x = 115,791.73

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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.