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Finding the Third Proportional to 37,240.13 and 81,443.06

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Solution

The third proportional to 37,240.13 and 81,443.06 is: 178,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240.13 : 81,443.06 = 81,443.06 : x
  2. Step 2: Convert to fraction form
    37,240.13/81,443.06 = 81,443.06/x
  3. Step 3: Cross multiply
    37,240.13x = 81,443.06 × 81,443.06
  4. Step 4: Simplify right side
    37,240.13x = 6,632,972,429.38
  5. Step 5: Solve for x
    x = 6,632,972,429.38/37,240.13
  6. Step 6: Final answer
    x = 178,113.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.