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Finding the Third Proportional to 43,252 and 92,975

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Solution

The third proportional to 43,252 and 92,975 is: 199,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,252 : 92,975 = 92,975 : x
  2. Step 2: Convert to fraction form
    43,252/92,975 = 92,975/x
  3. Step 3: Cross multiply
    43,252x = 92,975 × 92,975
  4. Step 4: Simplify right side
    43,252x = 8,644,350,625
  5. Step 5: Solve for x
    x = 8,644,350,625/43,252
  6. Step 6: Final answer
    x = 199,860.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.