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Finding the Third Proportional to 75,796 and 117,689

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Solution

The third proportional to 75,796 and 117,689 is: 182,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796 : 117,689 = 117,689 : x
  2. Step 2: Convert to fraction form
    75,796/117,689 = 117,689/x
  3. Step 3: Cross multiply
    75,796x = 117,689 × 117,689
  4. Step 4: Simplify right side
    75,796x = 13,850,700,721
  5. Step 5: Solve for x
    x = 13,850,700,721/75,796
  6. Step 6: Final answer
    x = 182,736.57

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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.