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Finding the Third Proportional to 32,642 and 68,122

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Solution

The third proportional to 32,642 and 68,122 is: 142,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642 : 68,122 = 68,122 : x
  2. Step 2: Convert to fraction form
    32,642/68,122 = 68,122/x
  3. Step 3: Cross multiply
    32,642x = 68,122 × 68,122
  4. Step 4: Simplify right side
    32,642x = 4,640,606,884
  5. Step 5: Solve for x
    x = 4,640,606,884/32,642
  6. Step 6: Final answer
    x = 142,166.74

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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.