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Finding the Third Proportional to 95,906.50 and 145,193

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Solution

The third proportional to 95,906.50 and 145,193 is: 219,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,906.50 : 145,193 = 145,193 : x
  2. Step 2: Convert to fraction form
    95,906.50/145,193 = 145,193/x
  3. Step 3: Cross multiply
    95,906.50x = 145,193 × 145,193
  4. Step 4: Simplify right side
    95,906.50x = 21,081,007,249
  5. Step 5: Solve for x
    x = 21,081,007,249/95,906.50
  6. Step 6: Final answer
    x = 219,807.91

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