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Finding the Third Proportional to 75,943 and 166,512

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Solution

The third proportional to 75,943 and 166,512 is: 365,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,943 : 166,512 = 166,512 : x
  2. Step 2: Convert to fraction form
    75,943/166,512 = 166,512/x
  3. Step 3: Cross multiply
    75,943x = 166,512 × 166,512
  4. Step 4: Simplify right side
    75,943x = 27,726,246,144
  5. Step 5: Solve for x
    x = 27,726,246,144/75,943
  6. Step 6: Final answer
    x = 365,092.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.