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Finding the Third Proportional to 69,022 and 103,880

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Solution

The third proportional to 69,022 and 103,880 is: 156,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,022 : 103,880 = 103,880 : x
  2. Step 2: Convert to fraction form
    69,022/103,880 = 103,880/x
  3. Step 3: Cross multiply
    69,022x = 103,880 × 103,880
  4. Step 4: Simplify right side
    69,022x = 10,791,054,400
  5. Step 5: Solve for x
    x = 10,791,054,400/69,022
  6. Step 6: Final answer
    x = 156,342.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.