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Finding the Third Proportional to 32,954 and 68,212

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Solution

The third proportional to 32,954 and 68,212 is: 141,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954 : 68,212 = 68,212 : x
  2. Step 2: Convert to fraction form
    32,954/68,212 = 68,212/x
  3. Step 3: Cross multiply
    32,954x = 68,212 × 68,212
  4. Step 4: Simplify right side
    32,954x = 4,652,876,944
  5. Step 5: Solve for x
    x = 4,652,876,944/32,954
  6. Step 6: Final answer
    x = 141,193.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.