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Finding the Third Proportional to 62,631 and 96,997.50

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Solution

The third proportional to 62,631 and 96,997.50 is: 150,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,631 : 96,997.50 = 96,997.50 : x
  2. Step 2: Convert to fraction form
    62,631/96,997.50 = 96,997.50/x
  3. Step 3: Cross multiply
    62,631x = 96,997.50 × 96,997.50
  4. Step 4: Simplify right side
    62,631x = 9,408,515,006.25
  5. Step 5: Solve for x
    x = 9,408,515,006.25/62,631
  6. Step 6: Final answer
    x = 150,221.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.