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Finding the Third Proportional to 63,198 and 95,197.50

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Solution

The third proportional to 63,198 and 95,197.50 is: 143,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,198 : 95,197.50 = 95,197.50 : x
  2. Step 2: Convert to fraction form
    63,198/95,197.50 = 95,197.50/x
  3. Step 3: Cross multiply
    63,198x = 95,197.50 × 95,197.50
  4. Step 4: Simplify right side
    63,198x = 9,062,564,006.25
  5. Step 5: Solve for x
    x = 9,062,564,006.25/63,198
  6. Step 6: Final answer
    x = 143,399.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.