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Finding the Third Proportional to 43,232.25 and 93,132.75

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Solution

The third proportional to 43,232.25 and 93,132.75 is: 200,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,232.25 : 93,132.75 = 93,132.75 : x
  2. Step 2: Convert to fraction form
    43,232.25/93,132.75 = 93,132.75/x
  3. Step 3: Cross multiply
    43,232.25x = 93,132.75 × 93,132.75
  4. Step 4: Simplify right side
    43,232.25x = 8,673,709,122.56
  5. Step 5: Solve for x
    x = 8,673,709,122.56/43,232.25
  6. Step 6: Final answer
    x = 200,630.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.