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Finding the Third Proportional to 32,163 and 67,242

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Solution

The third proportional to 32,163 and 67,242 is: 140,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163 : 67,242 = 67,242 : x
  2. Step 2: Convert to fraction form
    32,163/67,242 = 67,242/x
  3. Step 3: Cross multiply
    32,163x = 67,242 × 67,242
  4. Step 4: Simplify right side
    32,163x = 4,521,486,564
  5. Step 5: Solve for x
    x = 4,521,486,564/32,163
  6. Step 6: Final answer
    x = 140,580.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.