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Finding the Third Proportional to 75,900.66 and 166,563.56

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Solution

The third proportional to 75,900.66 and 166,563.56 is: 365,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,900.66 : 166,563.56 = 166,563.56 : x
  2. Step 2: Convert to fraction form
    75,900.66/166,563.56 = 166,563.56/x
  3. Step 3: Cross multiply
    75,900.66x = 166,563.56 × 166,563.56
  4. Step 4: Simplify right side
    75,900.66x = 27,743,420,352.69
  5. Step 5: Solve for x
    x = 27,743,420,352.69/75,900.66
  6. Step 6: Final answer
    x = 365,522.80

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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.