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Finding the Third Proportional to 54,837 and 87,216.75

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Solution

The third proportional to 54,837 and 87,216.75 is: 138,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837 : 87,216.75 = 87,216.75 : x
  2. Step 2: Convert to fraction form
    54,837/87,216.75 = 87,216.75/x
  3. Step 3: Cross multiply
    54,837x = 87,216.75 × 87,216.75
  4. Step 4: Simplify right side
    54,837x = 7,606,761,480.56
  5. Step 5: Solve for x
    x = 7,606,761,480.56/54,837
  6. Step 6: Final answer
    x = 138,715.86

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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.