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Finding the Third Proportional to 50,438 and 73,281

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Solution

The third proportional to 50,438 and 73,281 is: 106,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438 : 73,281 = 73,281 : x
  2. Step 2: Convert to fraction form
    50,438/73,281 = 73,281/x
  3. Step 3: Cross multiply
    50,438x = 73,281 × 73,281
  4. Step 4: Simplify right side
    50,438x = 5,370,104,961
  5. Step 5: Solve for x
    x = 5,370,104,961/50,438
  6. Step 6: Final answer
    x = 106,469.43

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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.