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Finding the Third Proportional to 101,019.38 and 158,469.75

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Solution

The third proportional to 101,019.38 and 158,469.75 is: 248,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,019.38 : 158,469.75 = 158,469.75 : x
  2. Step 2: Convert to fraction form
    101,019.38/158,469.75 = 158,469.75/x
  3. Step 3: Cross multiply
    101,019.38x = 158,469.75 × 158,469.75
  4. Step 4: Simplify right side
    101,019.38x = 25,112,661,665.06
  5. Step 5: Solve for x
    x = 25,112,661,665.06/101,019.38
  6. Step 6: Final answer
    x = 248,592.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.