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Finding the Third Proportional to 100,536 and 150,309.75

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Solution

The third proportional to 100,536 and 150,309.75 is: 224,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536 : 150,309.75 = 150,309.75 : x
  2. Step 2: Convert to fraction form
    100,536/150,309.75 = 150,309.75/x
  3. Step 3: Cross multiply
    100,536x = 150,309.75 × 150,309.75
  4. Step 4: Simplify right side
    100,536x = 22,593,020,945.06
  5. Step 5: Solve for x
    x = 22,593,020,945.06/100,536
  6. Step 6: Final answer
    x = 224,725.68

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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.