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Finding the Third Proportional to 75,901.22 and 166,564.69

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Solution

The third proportional to 75,901.22 and 166,564.69 is: 365,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,901.22 : 166,564.69 = 166,564.69 : x
  2. Step 2: Convert to fraction form
    75,901.22/166,564.69 = 166,564.69/x
  3. Step 3: Cross multiply
    75,901.22x = 166,564.69 × 166,564.69
  4. Step 4: Simplify right side
    75,901.22x = 27,743,795,121.97
  5. Step 5: Solve for x
    x = 27,743,795,121.97/75,901.22
  6. Step 6: Final answer
    x = 365,525.03

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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.