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Finding the Third Proportional to 49,036 and 105,850

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Solution

The third proportional to 49,036 and 105,850 is: 228,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,036 : 105,850 = 105,850 : x
  2. Step 2: Convert to fraction form
    49,036/105,850 = 105,850/x
  3. Step 3: Cross multiply
    49,036x = 105,850 × 105,850
  4. Step 4: Simplify right side
    49,036x = 11,204,222,500
  5. Step 5: Solve for x
    x = 11,204,222,500/49,036
  6. Step 6: Final answer
    x = 228,489.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.