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Finding the Third Proportional to 50,448.50 and 106,125

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Solution

The third proportional to 50,448.50 and 106,125 is: 223,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.50 : 106,125 = 106,125 : x
  2. Step 2: Convert to fraction form
    50,448.50/106,125 = 106,125/x
  3. Step 3: Cross multiply
    50,448.50x = 106,125 × 106,125
  4. Step 4: Simplify right side
    50,448.50x = 11,262,515,625
  5. Step 5: Solve for x
    x = 11,262,515,625/50,448.50
  6. Step 6: Final answer
    x = 223,247.78

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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.