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Finding the Third Proportional to 37,136.29 and 81,076.57

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Solution

The third proportional to 37,136.29 and 81,076.57 is: 177,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.29 : 81,076.57 = 81,076.57 : x
  2. Step 2: Convert to fraction form
    37,136.29/81,076.57 = 81,076.57/x
  3. Step 3: Cross multiply
    37,136.29x = 81,076.57 × 81,076.57
  4. Step 4: Simplify right side
    37,136.29x = 6,573,410,253.64
  5. Step 5: Solve for x
    x = 6,573,410,253.64/37,136.29
  6. Step 6: Final answer
    x = 177,007.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.