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Finding the Third Proportional to 70,991.25 and 151,832.63

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Solution

The third proportional to 70,991.25 and 151,832.63 is: 324,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,991.25 : 151,832.63 = 151,832.63 : x
  2. Step 2: Convert to fraction form
    70,991.25/151,832.63 = 151,832.63/x
  3. Step 3: Cross multiply
    70,991.25x = 151,832.63 × 151,832.63
  4. Step 4: Simplify right side
    70,991.25x = 23,053,146,014.39
  5. Step 5: Solve for x
    x = 23,053,146,014.39/70,991.25
  6. Step 6: Final answer
    x = 324,732.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.