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Finding the Third Proportional to 101,067.75 and 151,603.31

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Solution

The third proportional to 101,067.75 and 151,603.31 is: 227,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,067.75 : 151,603.31 = 151,603.31 : x
  2. Step 2: Convert to fraction form
    101,067.75/151,603.31 = 151,603.31/x
  3. Step 3: Cross multiply
    101,067.75x = 151,603.31 × 151,603.31
  4. Step 4: Simplify right side
    101,067.75x = 22,983,564,360.97
  5. Step 5: Solve for x
    x = 22,983,564,360.97/101,067.75
  6. Step 6: Final answer
    x = 227,407.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.