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Finding the Third Proportional to 96,455 and 150,204

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Solution

The third proportional to 96,455 and 150,204 is: 233,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,455 : 150,204 = 150,204 : x
  2. Step 2: Convert to fraction form
    96,455/150,204 = 150,204/x
  3. Step 3: Cross multiply
    96,455x = 150,204 × 150,204
  4. Step 4: Simplify right side
    96,455x = 22,561,241,616
  5. Step 5: Solve for x
    x = 22,561,241,616/96,455
  6. Step 6: Final answer
    x = 233,904.32

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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.