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Finding the Third Proportional to 37,249.69 and 81,148.97

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Solution

The third proportional to 37,249.69 and 81,148.97 is: 176,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,249.69 : 81,148.97 = 81,148.97 : x
  2. Step 2: Convert to fraction form
    37,249.69/81,148.97 = 81,148.97/x
  3. Step 3: Cross multiply
    37,249.69x = 81,148.97 × 81,148.97
  4. Step 4: Simplify right side
    37,249.69x = 6,585,155,129.19
  5. Step 5: Solve for x
    x = 6,585,155,129.19/37,249.69
  6. Step 6: Final answer
    x = 176,784.17

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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.