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Finding the Third Proportional to 42,311.25 and 89,376.75

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Solution

The third proportional to 42,311.25 and 89,376.75 is: 188,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,311.25 : 89,376.75 = 89,376.75 : x
  2. Step 2: Convert to fraction form
    42,311.25/89,376.75 = 89,376.75/x
  3. Step 3: Cross multiply
    42,311.25x = 89,376.75 × 89,376.75
  4. Step 4: Simplify right side
    42,311.25x = 7,988,203,440.56
  5. Step 5: Solve for x
    x = 7,988,203,440.56/42,311.25
  6. Step 6: Final answer
    x = 188,796.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.