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Finding the Third Proportional to 37,227.09 and 81,146.81

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Solution

The third proportional to 37,227.09 and 81,146.81 is: 176,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.09 : 81,146.81 = 81,146.81 : x
  2. Step 2: Convert to fraction form
    37,227.09/81,146.81 = 81,146.81/x
  3. Step 3: Cross multiply
    37,227.09x = 81,146.81 × 81,146.81
  4. Step 4: Simplify right side
    37,227.09x = 6,584,805,178.91
  5. Step 5: Solve for x
    x = 6,584,805,178.91/37,227.09
  6. Step 6: Final answer
    x = 176,882.06

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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.