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Finding the Third Proportional to 49,935 and 107,250

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Solution

The third proportional to 49,935 and 107,250 is: 230,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,935 : 107,250 = 107,250 : x
  2. Step 2: Convert to fraction form
    49,935/107,250 = 107,250/x
  3. Step 3: Cross multiply
    49,935x = 107,250 × 107,250
  4. Step 4: Simplify right side
    49,935x = 11,502,562,500
  5. Step 5: Solve for x
    x = 11,502,562,500/49,935
  6. Step 6: Final answer
    x = 230,350.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.