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Finding the Third Proportional to 69,074 and 104,960

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Solution

The third proportional to 69,074 and 104,960 is: 159,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 104,960 = 104,960 : x
  2. Step 2: Convert to fraction form
    69,074/104,960 = 104,960/x
  3. Step 3: Cross multiply
    69,074x = 104,960 × 104,960
  4. Step 4: Simplify right side
    69,074x = 11,016,601,600
  5. Step 5: Solve for x
    x = 11,016,601,600/69,074
  6. Step 6: Final answer
    x = 159,489.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.