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Finding the Third Proportional to 49,914 and 108,127

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Solution

The third proportional to 49,914 and 108,127 is: 234,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914 : 108,127 = 108,127 : x
  2. Step 2: Convert to fraction form
    49,914/108,127 = 108,127/x
  3. Step 3: Cross multiply
    49,914x = 108,127 × 108,127
  4. Step 4: Simplify right side
    49,914x = 11,691,448,129
  5. Step 5: Solve for x
    x = 11,691,448,129/49,914
  6. Step 6: Final answer
    x = 234,231.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.