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Finding the Third Proportional to 64,828 and 86,163

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Solution

The third proportional to 64,828 and 86,163 is: 114,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,828 : 86,163 = 86,163 : x
  2. Step 2: Convert to fraction form
    64,828/86,163 = 86,163/x
  3. Step 3: Cross multiply
    64,828x = 86,163 × 86,163
  4. Step 4: Simplify right side
    64,828x = 7,424,062,569
  5. Step 5: Solve for x
    x = 7,424,062,569/64,828
  6. Step 6: Final answer
    x = 114,519.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.