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Finding the Third Proportional to 67,857.75 and 89,232.75

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Solution

The third proportional to 67,857.75 and 89,232.75 is: 117,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857.75 : 89,232.75 = 89,232.75 : x
  2. Step 2: Convert to fraction form
    67,857.75/89,232.75 = 89,232.75/x
  3. Step 3: Cross multiply
    67,857.75x = 89,232.75 × 89,232.75
  4. Step 4: Simplify right side
    67,857.75x = 7,962,483,672.56
  5. Step 5: Solve for x
    x = 7,962,483,672.56/67,857.75
  6. Step 6: Final answer
    x = 117,340.81

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.