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Finding the Third Proportional to 54,986 and 88,531

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Solution

The third proportional to 54,986 and 88,531 is: 142,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,986 : 88,531 = 88,531 : x
  2. Step 2: Convert to fraction form
    54,986/88,531 = 88,531/x
  3. Step 3: Cross multiply
    54,986x = 88,531 × 88,531
  4. Step 4: Simplify right side
    54,986x = 7,837,737,961
  5. Step 5: Solve for x
    x = 7,837,737,961/54,986
  6. Step 6: Final answer
    x = 142,540.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.