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Finding the Third Proportional to 54,837 and 82,662

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Solution

The third proportional to 54,837 and 82,662 is: 124,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837 : 82,662 = 82,662 : x
  2. Step 2: Convert to fraction form
    54,837/82,662 = 82,662/x
  3. Step 3: Cross multiply
    54,837x = 82,662 × 82,662
  4. Step 4: Simplify right side
    54,837x = 6,833,006,244
  5. Step 5: Solve for x
    x = 6,833,006,244/54,837
  6. Step 6: Final answer
    x = 124,605.76

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Why These Related Problems?

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