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Finding the Third Proportional to 67,569 and 105,995.25

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Solution

The third proportional to 67,569 and 105,995.25 is: 166,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,569 : 105,995.25 = 105,995.25 : x
  2. Step 2: Convert to fraction form
    67,569/105,995.25 = 105,995.25/x
  3. Step 3: Cross multiply
    67,569x = 105,995.25 × 105,995.25
  4. Step 4: Simplify right side
    67,569x = 11,234,993,022.56
  5. Step 5: Solve for x
    x = 11,234,993,022.56/67,569
  6. Step 6: Final answer
    x = 166,274.37

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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.