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Finding the Third Proportional to 101,229.75 and 143,911.69

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Solution

The third proportional to 101,229.75 and 143,911.69 is: 204,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,229.75 : 143,911.69 = 143,911.69 : x
  2. Step 2: Convert to fraction form
    101,229.75/143,911.69 = 143,911.69/x
  3. Step 3: Cross multiply
    101,229.75x = 143,911.69 × 143,911.69
  4. Step 4: Simplify right side
    101,229.75x = 20,710,573,799.10
  5. Step 5: Solve for x
    x = 20,710,573,799.10/101,229.75
  6. Step 6: Final answer
    x = 204,589.79

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.