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Finding the Third Proportional to 96,000 and 143,616

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Solution

The third proportional to 96,000 and 143,616 is: 214,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000 : 143,616 = 143,616 : x
  2. Step 2: Convert to fraction form
    96,000/143,616 = 143,616/x
  3. Step 3: Cross multiply
    96,000x = 143,616 × 143,616
  4. Step 4: Simplify right side
    96,000x = 20,625,555,456
  5. Step 5: Solve for x
    x = 20,625,555,456/96,000
  6. Step 6: Final answer
    x = 214,849.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.