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Finding the Third Proportional to 85,896.75 and 128,448.38

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Solution

The third proportional to 85,896.75 and 128,448.38 is: 192,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896.75 : 128,448.38 = 128,448.38 : x
  2. Step 2: Convert to fraction form
    85,896.75/128,448.38 = 128,448.38/x
  3. Step 3: Cross multiply
    85,896.75x = 128,448.38 × 128,448.38
  4. Step 4: Simplify right side
    85,896.75x = 16,498,985,040.14
  5. Step 5: Solve for x
    x = 16,498,985,040.14/85,896.75
  6. Step 6: Final answer
    x = 192,079.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.