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Finding the Third Proportional to 37,315.69 and 81,906.19

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Solution

The third proportional to 37,315.69 and 81,906.19 is: 179,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.69 : 81,906.19 = 81,906.19 : x
  2. Step 2: Convert to fraction form
    37,315.69/81,906.19 = 81,906.19/x
  3. Step 3: Cross multiply
    37,315.69x = 81,906.19 × 81,906.19
  4. Step 4: Simplify right side
    37,315.69x = 6,708,623,550.79
  5. Step 5: Solve for x
    x = 6,708,623,550.79/37,315.69
  6. Step 6: Final answer
    x = 179,780.25

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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.