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Finding the Third Proportional to 75,668 and 117,093

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Solution

The third proportional to 75,668 and 117,093 is: 181,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,668 : 117,093 = 117,093 : x
  2. Step 2: Convert to fraction form
    75,668/117,093 = 117,093/x
  3. Step 3: Cross multiply
    75,668x = 117,093 × 117,093
  4. Step 4: Simplify right side
    75,668x = 13,710,770,649
  5. Step 5: Solve for x
    x = 13,710,770,649/75,668
  6. Step 6: Final answer
    x = 181,196.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.