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Finding the Third Proportional to 82,087.56 and 179,744.69

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Solution

The third proportional to 82,087.56 and 179,744.69 is: 393,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,087.56 : 179,744.69 = 179,744.69 : x
  2. Step 2: Convert to fraction form
    82,087.56/179,744.69 = 179,744.69/x
  3. Step 3: Cross multiply
    82,087.56x = 179,744.69 × 179,744.69
  4. Step 4: Simplify right side
    82,087.56x = 32,308,152,684.47
  5. Step 5: Solve for x
    x = 32,308,152,684.47/82,087.56
  6. Step 6: Final answer
    x = 393,581.58

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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.