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Finding the Third Proportional to 55,161.28 and 82,667.81

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Solution

The third proportional to 55,161.28 and 82,667.81 is: 123,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,161.28 : 82,667.81 = 82,667.81 : x
  2. Step 2: Convert to fraction form
    55,161.28/82,667.81 = 82,667.81/x
  3. Step 3: Cross multiply
    55,161.28x = 82,667.81 × 82,667.81
  4. Step 4: Simplify right side
    55,161.28x = 6,833,967,223.54
  5. Step 5: Solve for x
    x = 6,833,967,223.54/55,161.28
  6. Step 6: Final answer
    x = 123,890.65

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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.