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Finding the Third Proportional to 108,976 and 169,922

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Solution

The third proportional to 108,976 and 169,922 is: 264,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,976 : 169,922 = 169,922 : x
  2. Step 2: Convert to fraction form
    108,976/169,922 = 169,922/x
  3. Step 3: Cross multiply
    108,976x = 169,922 × 169,922
  4. Step 4: Simplify right side
    108,976x = 28,873,486,084
  5. Step 5: Solve for x
    x = 28,873,486,084/108,976
  6. Step 6: Final answer
    x = 264,952.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.