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Finding the Third Proportional to 32,866 and 68,420

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Solution

The third proportional to 32,866 and 68,420 is: 142,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,866 : 68,420 = 68,420 : x
  2. Step 2: Convert to fraction form
    32,866/68,420 = 68,420/x
  3. Step 3: Cross multiply
    32,866x = 68,420 × 68,420
  4. Step 4: Simplify right side
    32,866x = 4,681,296,400
  5. Step 5: Solve for x
    x = 4,681,296,400/32,866
  6. Step 6: Final answer
    x = 142,435.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.