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Finding the Third Proportional to 105,486 and 140,912

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Solution

The third proportional to 105,486 and 140,912 is: 188,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486 : 140,912 = 140,912 : x
  2. Step 2: Convert to fraction form
    105,486/140,912 = 140,912/x
  3. Step 3: Cross multiply
    105,486x = 140,912 × 140,912
  4. Step 4: Simplify right side
    105,486x = 19,856,191,744
  5. Step 5: Solve for x
    x = 19,856,191,744/105,486
  6. Step 6: Final answer
    x = 188,235.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.