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Finding the Third Proportional to 107,144.44 and 160,191

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Solution

The third proportional to 107,144.44 and 160,191 is: 239,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,144.44 : 160,191 = 160,191 : x
  2. Step 2: Convert to fraction form
    107,144.44/160,191 = 160,191/x
  3. Step 3: Cross multiply
    107,144.44x = 160,191 × 160,191
  4. Step 4: Simplify right side
    107,144.44x = 25,661,156,481
  5. Step 5: Solve for x
    x = 25,661,156,481/107,144.44
  6. Step 6: Final answer
    x = 239,500.59

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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.