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Finding the Third Proportional to 50,040 and 72,720

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Solution

The third proportional to 50,040 and 72,720 is: 105,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,040 : 72,720 = 72,720 : x
  2. Step 2: Convert to fraction form
    50,040/72,720 = 72,720/x
  3. Step 3: Cross multiply
    50,040x = 72,720 × 72,720
  4. Step 4: Simplify right side
    50,040x = 5,288,198,400
  5. Step 5: Solve for x
    x = 5,288,198,400/50,040
  6. Step 6: Final answer
    x = 105,679.42

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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.