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Finding the Third Proportional to 43,625 and 67,098

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Solution

The third proportional to 43,625 and 67,098 is: 103,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,625 : 67,098 = 67,098 : x
  2. Step 2: Convert to fraction form
    43,625/67,098 = 67,098/x
  3. Step 3: Cross multiply
    43,625x = 67,098 × 67,098
  4. Step 4: Simplify right side
    43,625x = 4,502,141,604
  5. Step 5: Solve for x
    x = 4,502,141,604/43,625
  6. Step 6: Final answer
    x = 103,200.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.