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Finding the Third Proportional to 76,944 and 115,923

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Solution

The third proportional to 76,944 and 115,923 is: 174,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944 : 115,923 = 115,923 : x
  2. Step 2: Convert to fraction form
    76,944/115,923 = 115,923/x
  3. Step 3: Cross multiply
    76,944x = 115,923 × 115,923
  4. Step 4: Simplify right side
    76,944x = 13,438,141,929
  5. Step 5: Solve for x
    x = 13,438,141,929/76,944
  6. Step 6: Final answer
    x = 174,648.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.