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Finding the Third Proportional to 53,934 and 86,163

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Solution

The third proportional to 53,934 and 86,163 is: 137,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,934 : 86,163 = 86,163 : x
  2. Step 2: Convert to fraction form
    53,934/86,163 = 86,163/x
  3. Step 3: Cross multiply
    53,934x = 86,163 × 86,163
  4. Step 4: Simplify right side
    53,934x = 7,424,062,569
  5. Step 5: Solve for x
    x = 7,424,062,569/53,934
  6. Step 6: Final answer
    x = 137,650.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.