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Finding the Third Proportional to 69,104 and 110,012

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Solution

The third proportional to 69,104 and 110,012 is: 175,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,104 : 110,012 = 110,012 : x
  2. Step 2: Convert to fraction form
    69,104/110,012 = 110,012/x
  3. Step 3: Cross multiply
    69,104x = 110,012 × 110,012
  4. Step 4: Simplify right side
    69,104x = 12,102,640,144
  5. Step 5: Solve for x
    x = 12,102,640,144/69,104
  6. Step 6: Final answer
    x = 175,136.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.