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Finding the Third Proportional to 50,292 and 110,256

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Solution

The third proportional to 50,292 and 110,256 is: 241,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,292 : 110,256 = 110,256 : x
  2. Step 2: Convert to fraction form
    50,292/110,256 = 110,256/x
  3. Step 3: Cross multiply
    50,292x = 110,256 × 110,256
  4. Step 4: Simplify right side
    50,292x = 12,156,385,536
  5. Step 5: Solve for x
    x = 12,156,385,536/50,292
  6. Step 6: Final answer
    x = 241,716.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.