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Finding the Third Proportional to 72,238.50 and 95,878.69

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Solution

The third proportional to 72,238.50 and 95,878.69 is: 127,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,238.50 : 95,878.69 = 95,878.69 : x
  2. Step 2: Convert to fraction form
    72,238.50/95,878.69 = 95,878.69/x
  3. Step 3: Cross multiply
    72,238.50x = 95,878.69 × 95,878.69
  4. Step 4: Simplify right side
    72,238.50x = 9,192,722,716.72
  5. Step 5: Solve for x
    x = 9,192,722,716.72/72,238.50
  6. Step 6: Final answer
    x = 127,255.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.