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Finding the Third Proportional to 96,204 and 140,582

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Solution

The third proportional to 96,204 and 140,582 is: 205,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,204 : 140,582 = 140,582 : x
  2. Step 2: Convert to fraction form
    96,204/140,582 = 140,582/x
  3. Step 3: Cross multiply
    96,204x = 140,582 × 140,582
  4. Step 4: Simplify right side
    96,204x = 19,763,298,724
  5. Step 5: Solve for x
    x = 19,763,298,724/96,204
  6. Step 6: Final answer
    x = 205,431.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.