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Finding the Third Proportional to 96,963 and 150,669

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Solution

The third proportional to 96,963 and 150,669 is: 234,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,963 : 150,669 = 150,669 : x
  2. Step 2: Convert to fraction form
    96,963/150,669 = 150,669/x
  3. Step 3: Cross multiply
    96,963x = 150,669 × 150,669
  4. Step 4: Simplify right side
    96,963x = 22,701,147,561
  5. Step 5: Solve for x
    x = 22,701,147,561/96,963
  6. Step 6: Final answer
    x = 234,121.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.