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Finding the Third Proportional to 54,676.13 and 82,014.19

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Solution

The third proportional to 54,676.13 and 82,014.19 is: 123,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676.13 : 82,014.19 = 82,014.19 : x
  2. Step 2: Convert to fraction form
    54,676.13/82,014.19 = 82,014.19/x
  3. Step 3: Cross multiply
    54,676.13x = 82,014.19 × 82,014.19
  4. Step 4: Simplify right side
    54,676.13x = 6,726,326,951.29
  5. Step 5: Solve for x
    x = 6,726,326,951.29/54,676.13
  6. Step 6: Final answer
    x = 123,021.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.