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Finding the Third Proportional to 96,576 and 149,234

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Solution

The third proportional to 96,576 and 149,234 is: 230,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576 : 149,234 = 149,234 : x
  2. Step 2: Convert to fraction form
    96,576/149,234 = 149,234/x
  3. Step 3: Cross multiply
    96,576x = 149,234 × 149,234
  4. Step 4: Simplify right side
    96,576x = 22,270,786,756
  5. Step 5: Solve for x
    x = 22,270,786,756/96,576
  6. Step 6: Final answer
    x = 230,603.74

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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.