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Finding the Third Proportional to 95,204 and 146,451

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Solution

The third proportional to 95,204 and 146,451 is: 225,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,204 : 146,451 = 146,451 : x
  2. Step 2: Convert to fraction form
    95,204/146,451 = 146,451/x
  3. Step 3: Cross multiply
    95,204x = 146,451 × 146,451
  4. Step 4: Simplify right side
    95,204x = 21,447,895,401
  5. Step 5: Solve for x
    x = 21,447,895,401/95,204
  6. Step 6: Final answer
    x = 225,283.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.