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Finding the Third Proportional to 82,179.56 and 174,951.56

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Solution

The third proportional to 82,179.56 and 174,951.56 is: 372,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,179.56 : 174,951.56 = 174,951.56 : x
  2. Step 2: Convert to fraction form
    82,179.56/174,951.56 = 174,951.56/x
  3. Step 3: Cross multiply
    82,179.56x = 174,951.56 × 174,951.56
  4. Step 4: Simplify right side
    82,179.56x = 30,608,049,221.19
  5. Step 5: Solve for x
    x = 30,608,049,221.19/82,179.56
  6. Step 6: Final answer
    x = 372,453.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.