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Finding the Third Proportional to 54,883.69 and 82,757.81

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Solution

The third proportional to 54,883.69 and 82,757.81 is: 124,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,883.69 : 82,757.81 = 82,757.81 : x
  2. Step 2: Convert to fraction form
    54,883.69/82,757.81 = 82,757.81/x
  3. Step 3: Cross multiply
    54,883.69x = 82,757.81 × 82,757.81
  4. Step 4: Simplify right side
    54,883.69x = 6,848,855,529.79
  5. Step 5: Solve for x
    x = 6,848,855,529.79/54,883.69
  6. Step 6: Final answer
    x = 124,788.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.