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Finding the Third Proportional to 106,195.50 and 159,536.25

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Solution

The third proportional to 106,195.50 and 159,536.25 is: 239,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.50 : 159,536.25 = 159,536.25 : x
  2. Step 2: Convert to fraction form
    106,195.50/159,536.25 = 159,536.25/x
  3. Step 3: Cross multiply
    106,195.50x = 159,536.25 × 159,536.25
  4. Step 4: Simplify right side
    106,195.50x = 25,451,815,064.06
  5. Step 5: Solve for x
    x = 25,451,815,064.06/106,195.50
  6. Step 6: Final answer
    x = 239,669.43

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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.