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Finding the Third Proportional to 75,890.25 and 166,542.75

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Solution

The third proportional to 75,890.25 and 166,542.75 is: 365,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,890.25 : 166,542.75 = 166,542.75 : x
  2. Step 2: Convert to fraction form
    75,890.25/166,542.75 = 166,542.75/x
  3. Step 3: Cross multiply
    75,890.25x = 166,542.75 × 166,542.75
  4. Step 4: Simplify right side
    75,890.25x = 27,736,487,577.56
  5. Step 5: Solve for x
    x = 27,736,487,577.56/75,890.25
  6. Step 6: Final answer
    x = 365,481.57

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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.