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Finding the Third Proportional to 50,296 and 110,168

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Solution

The third proportional to 50,296 and 110,168 is: 241,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296 : 110,168 = 110,168 : x
  2. Step 2: Convert to fraction form
    50,296/110,168 = 110,168/x
  3. Step 3: Cross multiply
    50,296x = 110,168 × 110,168
  4. Step 4: Simplify right side
    50,296x = 12,136,988,224
  5. Step 5: Solve for x
    x = 12,136,988,224/50,296
  6. Step 6: Final answer
    x = 241,311.20

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Why These Related Problems?

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