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Finding the Third Proportional to 67,566 and 105,990

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Solution

The third proportional to 67,566 and 105,990 is: 166,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,566 : 105,990 = 105,990 : x
  2. Step 2: Convert to fraction form
    67,566/105,990 = 105,990/x
  3. Step 3: Cross multiply
    67,566x = 105,990 × 105,990
  4. Step 4: Simplify right side
    67,566x = 11,233,880,100
  5. Step 5: Solve for x
    x = 11,233,880,100/67,566
  6. Step 6: Final answer
    x = 166,265.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.