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Finding the Third Proportional to 32,186 and 67,990

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Solution

The third proportional to 32,186 and 67,990 is: 143,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 67,990 = 67,990 : x
  2. Step 2: Convert to fraction form
    32,186/67,990 = 67,990/x
  3. Step 3: Cross multiply
    32,186x = 67,990 × 67,990
  4. Step 4: Simplify right side
    32,186x = 4,622,640,100
  5. Step 5: Solve for x
    x = 4,622,640,100/32,186
  6. Step 6: Final answer
    x = 143,622.70

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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.