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Finding the Third Proportional to 96,758 and 149,451

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Solution

The third proportional to 96,758 and 149,451 is: 230,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,758 : 149,451 = 149,451 : x
  2. Step 2: Convert to fraction form
    96,758/149,451 = 149,451/x
  3. Step 3: Cross multiply
    96,758x = 149,451 × 149,451
  4. Step 4: Simplify right side
    96,758x = 22,335,601,401
  5. Step 5: Solve for x
    x = 22,335,601,401/96,758
  6. Step 6: Final answer
    x = 230,839.84

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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.