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Finding the Third Proportional to 32,206 and 67,908

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Solution

The third proportional to 32,206 and 67,908 is: 143,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206 : 67,908 = 67,908 : x
  2. Step 2: Convert to fraction form
    32,206/67,908 = 67,908/x
  3. Step 3: Cross multiply
    32,206x = 67,908 × 67,908
  4. Step 4: Simplify right side
    32,206x = 4,611,496,464
  5. Step 5: Solve for x
    x = 4,611,496,464/32,206
  6. Step 6: Final answer
    x = 143,187.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.