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Finding the Third Proportional to 41,708.75 and 89,978.75

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Solution

The third proportional to 41,708.75 and 89,978.75 is: 194,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,708.75 : 89,978.75 = 89,978.75 : x
  2. Step 2: Convert to fraction form
    41,708.75/89,978.75 = 89,978.75/x
  3. Step 3: Cross multiply
    41,708.75x = 89,978.75 × 89,978.75
  4. Step 4: Simplify right side
    41,708.75x = 8,096,175,451.56
  5. Step 5: Solve for x
    x = 8,096,175,451.56/41,708.75
  6. Step 6: Final answer
    x = 194,112.16

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.