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Finding the Third Proportional to 100,601.25 and 150,914.25

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Solution

The third proportional to 100,601.25 and 150,914.25 is: 226,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,601.25 : 150,914.25 = 150,914.25 : x
  2. Step 2: Convert to fraction form
    100,601.25/150,914.25 = 150,914.25/x
  3. Step 3: Cross multiply
    100,601.25x = 150,914.25 × 150,914.25
  4. Step 4: Simplify right side
    100,601.25x = 22,775,110,853.06
  5. Step 5: Solve for x
    x = 22,775,110,853.06/100,601.25
  6. Step 6: Final answer
    x = 226,389.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.