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Finding the Third Proportional to 50,592 and 106,500

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Solution

The third proportional to 50,592 and 106,500 is: 224,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,592 : 106,500 = 106,500 : x
  2. Step 2: Convert to fraction form
    50,592/106,500 = 106,500/x
  3. Step 3: Cross multiply
    50,592x = 106,500 × 106,500
  4. Step 4: Simplify right side
    50,592x = 11,342,250,000
  5. Step 5: Solve for x
    x = 11,342,250,000/50,592
  6. Step 6: Final answer
    x = 224,190.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.