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Finding the Third Proportional to 96,006 and 143,625

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Solution

The third proportional to 96,006 and 143,625 is: 214,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,006 : 143,625 = 143,625 : x
  2. Step 2: Convert to fraction form
    96,006/143,625 = 143,625/x
  3. Step 3: Cross multiply
    96,006x = 143,625 × 143,625
  4. Step 4: Simplify right side
    96,006x = 20,628,140,625
  5. Step 5: Solve for x
    x = 20,628,140,625/96,006
  6. Step 6: Final answer
    x = 214,863.04

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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.