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Finding the Third Proportional to 50,505 and 106,234.50

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Solution

The third proportional to 50,505 and 106,234.50 is: 223,458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,505 : 106,234.50 = 106,234.50 : x
  2. Step 2: Convert to fraction form
    50,505/106,234.50 = 106,234.50/x
  3. Step 3: Cross multiply
    50,505x = 106,234.50 × 106,234.50
  4. Step 4: Simplify right side
    50,505x = 11,285,768,990.25
  5. Step 5: Solve for x
    x = 11,285,768,990.25/50,505
  6. Step 6: Final answer
    x = 223,458.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.