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Finding the Third Proportional to 50,439 and 73,282

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Solution

The third proportional to 50,439 and 73,282 is: 106,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,439 : 73,282 = 73,282 : x
  2. Step 2: Convert to fraction form
    50,439/73,282 = 73,282/x
  3. Step 3: Cross multiply
    50,439x = 73,282 × 73,282
  4. Step 4: Simplify right side
    50,439x = 5,370,251,524
  5. Step 5: Solve for x
    x = 5,370,251,524/50,439
  6. Step 6: Final answer
    x = 106,470.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.