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Finding the Third Proportional to 30,269 and 59,761

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Solution

The third proportional to 30,269 and 59,761 is: 117,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269 : 59,761 = 59,761 : x
  2. Step 2: Convert to fraction form
    30,269/59,761 = 59,761/x
  3. Step 3: Cross multiply
    30,269x = 59,761 × 59,761
  4. Step 4: Simplify right side
    30,269x = 3,571,377,121
  5. Step 5: Solve for x
    x = 3,571,377,121/30,269
  6. Step 6: Final answer
    x = 117,987.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.