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Finding the Third Proportional to 96,558 and 150,189

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Solution

The third proportional to 96,558 and 150,189 is: 233,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,558 : 150,189 = 150,189 : x
  2. Step 2: Convert to fraction form
    96,558/150,189 = 150,189/x
  3. Step 3: Cross multiply
    96,558x = 150,189 × 150,189
  4. Step 4: Simplify right side
    96,558x = 22,556,735,721
  5. Step 5: Solve for x
    x = 22,556,735,721/96,558
  6. Step 6: Final answer
    x = 233,608.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.