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Finding the Third Proportional to 101,067.50 and 168,431.50

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Solution

The third proportional to 101,067.50 and 168,431.50 is: 280,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,067.50 : 168,431.50 = 168,431.50 : x
  2. Step 2: Convert to fraction form
    101,067.50/168,431.50 = 168,431.50/x
  3. Step 3: Cross multiply
    101,067.50x = 168,431.50 × 168,431.50
  4. Step 4: Simplify right side
    101,067.50x = 28,369,170,192.25
  5. Step 5: Solve for x
    x = 28,369,170,192.25/101,067.50
  6. Step 6: Final answer
    x = 280,695.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.