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Finding the Third Proportional to 107,976 and 169,366

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Solution

The third proportional to 107,976 and 169,366 is: 265,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,976 : 169,366 = 169,366 : x
  2. Step 2: Convert to fraction form
    107,976/169,366 = 169,366/x
  3. Step 3: Cross multiply
    107,976x = 169,366 × 169,366
  4. Step 4: Simplify right side
    107,976x = 28,684,841,956
  5. Step 5: Solve for x
    x = 28,684,841,956/107,976
  6. Step 6: Final answer
    x = 265,659.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.