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Finding the Third Proportional to 96,986 and 145,839

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Solution

The third proportional to 96,986 and 145,839 is: 219,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,986 : 145,839 = 145,839 : x
  2. Step 2: Convert to fraction form
    96,986/145,839 = 145,839/x
  3. Step 3: Cross multiply
    96,986x = 145,839 × 145,839
  4. Step 4: Simplify right side
    96,986x = 21,269,013,921
  5. Step 5: Solve for x
    x = 21,269,013,921/96,986
  6. Step 6: Final answer
    x = 219,299.84

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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.