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Finding the Third Proportional to 56,096 and 119,116

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Solution

The third proportional to 56,096 and 119,116 is: 252,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 119,116 = 119,116 : x
  2. Step 2: Convert to fraction form
    56,096/119,116 = 119,116/x
  3. Step 3: Cross multiply
    56,096x = 119,116 × 119,116
  4. Step 4: Simplify right side
    56,096x = 14,188,621,456
  5. Step 5: Solve for x
    x = 14,188,621,456/56,096
  6. Step 6: Final answer
    x = 252,934.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.