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Finding the Third Proportional to 77,933 and 169,150

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Solution

The third proportional to 77,933 and 169,150 is: 367,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,933 : 169,150 = 169,150 : x
  2. Step 2: Convert to fraction form
    77,933/169,150 = 169,150/x
  3. Step 3: Cross multiply
    77,933x = 169,150 × 169,150
  4. Step 4: Simplify right side
    77,933x = 28,611,722,500
  5. Step 5: Solve for x
    x = 28,611,722,500/77,933
  6. Step 6: Final answer
    x = 367,132.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.