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Finding the Third Proportional to 96,696 and 150,039

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Solution

The third proportional to 96,696 and 150,039 is: 232,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,696 : 150,039 = 150,039 : x
  2. Step 2: Convert to fraction form
    96,696/150,039 = 150,039/x
  3. Step 3: Cross multiply
    96,696x = 150,039 × 150,039
  4. Step 4: Simplify right side
    96,696x = 22,511,701,521
  5. Step 5: Solve for x
    x = 22,511,701,521/96,696
  6. Step 6: Final answer
    x = 232,809.03

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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.