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Finding the Third Proportional to 70,995.25 and 151,462.75

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Solution

The third proportional to 70,995.25 and 151,462.75 is: 323,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,995.25 : 151,462.75 = 151,462.75 : x
  2. Step 2: Convert to fraction form
    70,995.25/151,462.75 = 151,462.75/x
  3. Step 3: Cross multiply
    70,995.25x = 151,462.75 × 151,462.75
  4. Step 4: Simplify right side
    70,995.25x = 22,940,964,637.56
  5. Step 5: Solve for x
    x = 22,940,964,637.56/70,995.25
  6. Step 6: Final answer
    x = 323,133.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.