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Finding the Third Proportional to 96,004 and 143,622

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Solution

The third proportional to 96,004 and 143,622 is: 214,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,004 : 143,622 = 143,622 : x
  2. Step 2: Convert to fraction form
    96,004/143,622 = 143,622/x
  3. Step 3: Cross multiply
    96,004x = 143,622 × 143,622
  4. Step 4: Simplify right side
    96,004x = 20,627,278,884
  5. Step 5: Solve for x
    x = 20,627,278,884/96,004
  6. Step 6: Final answer
    x = 214,858.54

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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.