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Finding the Third Proportional to 82,804.78 and 131,331.38

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Solution

The third proportional to 82,804.78 and 131,331.38 is: 208,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,804.78 : 131,331.38 = 131,331.38 : x
  2. Step 2: Convert to fraction form
    82,804.78/131,331.38 = 131,331.38/x
  3. Step 3: Cross multiply
    82,804.78x = 131,331.38 × 131,331.38
  4. Step 4: Simplify right side
    82,804.78x = 17,247,930,059.39
  5. Step 5: Solve for x
    x = 17,247,930,059.39/82,804.78
  6. Step 6: Final answer
    x = 208,296.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.