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Finding the Third Proportional to 85,357.13 and 128,310.75

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Solution

The third proportional to 85,357.13 and 128,310.75 is: 192,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,357.13 : 128,310.75 = 128,310.75 : x
  2. Step 2: Convert to fraction form
    85,357.13/128,310.75 = 128,310.75/x
  3. Step 3: Cross multiply
    85,357.13x = 128,310.75 × 128,310.75
  4. Step 4: Simplify right side
    85,357.13x = 16,463,648,565.56
  5. Step 5: Solve for x
    x = 16,463,648,565.56/85,357.13
  6. Step 6: Final answer
    x = 192,879.61

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