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Finding the Third Proportional to 81,944 and 125,103

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Solution

The third proportional to 81,944 and 125,103 is: 190,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,944 : 125,103 = 125,103 : x
  2. Step 2: Convert to fraction form
    81,944/125,103 = 125,103/x
  3. Step 3: Cross multiply
    81,944x = 125,103 × 125,103
  4. Step 4: Simplify right side
    81,944x = 15,650,760,609
  5. Step 5: Solve for x
    x = 15,650,760,609/81,944
  6. Step 6: Final answer
    x = 190,993.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.