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Finding the Third Proportional to 96,825 and 149,561

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Solution

The third proportional to 96,825 and 149,561 is: 231,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,825 : 149,561 = 149,561 : x
  2. Step 2: Convert to fraction form
    96,825/149,561 = 149,561/x
  3. Step 3: Cross multiply
    96,825x = 149,561 × 149,561
  4. Step 4: Simplify right side
    96,825x = 22,368,492,721
  5. Step 5: Solve for x
    x = 22,368,492,721/96,825
  6. Step 6: Final answer
    x = 231,019.81

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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.