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Finding the Third Proportional to 96,399 and 144,031

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Solution

The third proportional to 96,399 and 144,031 is: 215,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399 : 144,031 = 144,031 : x
  2. Step 2: Convert to fraction form
    96,399/144,031 = 144,031/x
  3. Step 3: Cross multiply
    96,399x = 144,031 × 144,031
  4. Step 4: Simplify right side
    96,399x = 20,744,928,961
  5. Step 5: Solve for x
    x = 20,744,928,961/96,399
  6. Step 6: Final answer
    x = 215,198.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.