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Finding the Third Proportional to 96,002 and 143,619

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Solution

The third proportional to 96,002 and 143,619 is: 214,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,002 : 143,619 = 143,619 : x
  2. Step 2: Convert to fraction form
    96,002/143,619 = 143,619/x
  3. Step 3: Cross multiply
    96,002x = 143,619 × 143,619
  4. Step 4: Simplify right side
    96,002x = 20,626,417,161
  5. Step 5: Solve for x
    x = 20,626,417,161/96,002
  6. Step 6: Final answer
    x = 214,854.04

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