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Finding the Third Proportional to 96,912 and 150,112

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Solution

The third proportional to 96,912 and 150,112 is: 232,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,912 : 150,112 = 150,112 : x
  2. Step 2: Convert to fraction form
    96,912/150,112 = 150,112/x
  3. Step 3: Cross multiply
    96,912x = 150,112 × 150,112
  4. Step 4: Simplify right side
    96,912x = 22,533,612,544
  5. Step 5: Solve for x
    x = 22,533,612,544/96,912
  6. Step 6: Final answer
    x = 232,516.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.