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Finding the Third Proportional to 41,768.16 and 68,568.75

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Solution

The third proportional to 41,768.16 and 68,568.75 is: 112,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,768.16 : 68,568.75 = 68,568.75 : x
  2. Step 2: Convert to fraction form
    41,768.16/68,568.75 = 68,568.75/x
  3. Step 3: Cross multiply
    41,768.16x = 68,568.75 × 68,568.75
  4. Step 4: Simplify right side
    41,768.16x = 4,701,673,476.56
  5. Step 5: Solve for x
    x = 4,701,673,476.56/41,768.16
  6. Step 6: Final answer
    x = 112,565.98

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.