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Finding the Third Proportional to 101,040.75 and 149,735.25

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Solution

The third proportional to 101,040.75 and 149,735.25 is: 221,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,040.75 : 149,735.25 = 149,735.25 : x
  2. Step 2: Convert to fraction form
    101,040.75/149,735.25 = 149,735.25/x
  3. Step 3: Cross multiply
    101,040.75x = 149,735.25 × 149,735.25
  4. Step 4: Simplify right side
    101,040.75x = 22,420,645,092.56
  5. Step 5: Solve for x
    x = 22,420,645,092.56/101,040.75
  6. Step 6: Final answer
    x = 221,897.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.