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Finding the Third Proportional to 43,698 and 67,170

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Solution

The third proportional to 43,698 and 67,170 is: 103,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698 : 67,170 = 67,170 : x
  2. Step 2: Convert to fraction form
    43,698/67,170 = 67,170/x
  3. Step 3: Cross multiply
    43,698x = 67,170 × 67,170
  4. Step 4: Simplify right side
    43,698x = 4,511,808,900
  5. Step 5: Solve for x
    x = 4,511,808,900/43,698
  6. Step 6: Final answer
    x = 103,249.78

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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.