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Finding the Third Proportional to 96,462 and 150,867

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Solution

The third proportional to 96,462 and 150,867 is: 235,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,462 : 150,867 = 150,867 : x
  2. Step 2: Convert to fraction form
    96,462/150,867 = 150,867/x
  3. Step 3: Cross multiply
    96,462x = 150,867 × 150,867
  4. Step 4: Simplify right side
    96,462x = 22,760,851,689
  5. Step 5: Solve for x
    x = 22,760,851,689/96,462
  6. Step 6: Final answer
    x = 235,956.66

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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.