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Finding the Third Proportional to 50,172.75 and 109,671.75

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Solution

The third proportional to 50,172.75 and 109,671.75 is: 239,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172.75 : 109,671.75 = 109,671.75 : x
  2. Step 2: Convert to fraction form
    50,172.75/109,671.75 = 109,671.75/x
  3. Step 3: Cross multiply
    50,172.75x = 109,671.75 × 109,671.75
  4. Step 4: Simplify right side
    50,172.75x = 12,027,892,748.06
  5. Step 5: Solve for x
    x = 12,027,892,748.06/50,172.75
  6. Step 6: Final answer
    x = 239,729.59

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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.