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Finding the Third Proportional to 96,936 and 142,204

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Solution

The third proportional to 96,936 and 142,204 is: 208,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,936 : 142,204 = 142,204 : x
  2. Step 2: Convert to fraction form
    96,936/142,204 = 142,204/x
  3. Step 3: Cross multiply
    96,936x = 142,204 × 142,204
  4. Step 4: Simplify right side
    96,936x = 20,221,977,616
  5. Step 5: Solve for x
    x = 20,221,977,616/96,936
  6. Step 6: Final answer
    x = 208,611.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.