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Finding the Third Proportional to 73,475.25 and 150,063.75

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Solution

The third proportional to 73,475.25 and 150,063.75 is: 306,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,475.25 : 150,063.75 = 150,063.75 : x
  2. Step 2: Convert to fraction form
    73,475.25/150,063.75 = 150,063.75/x
  3. Step 3: Cross multiply
    73,475.25x = 150,063.75 × 150,063.75
  4. Step 4: Simplify right side
    73,475.25x = 22,519,129,064.06
  5. Step 5: Solve for x
    x = 22,519,129,064.06/73,475.25
  6. Step 6: Final answer
    x = 306,485.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.