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Finding the Third Proportional to 40,749 and 85,923

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Solution

The third proportional to 40,749 and 85,923 is: 181,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,749 : 85,923 = 85,923 : x
  2. Step 2: Convert to fraction form
    40,749/85,923 = 85,923/x
  3. Step 3: Cross multiply
    40,749x = 85,923 × 85,923
  4. Step 4: Simplify right side
    40,749x = 7,382,761,929
  5. Step 5: Solve for x
    x = 7,382,761,929/40,749
  6. Step 6: Final answer
    x = 181,176.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.