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Finding the Third Proportional to 96,698 and 150,042

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Solution

The third proportional to 96,698 and 150,042 is: 232,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698 : 150,042 = 150,042 : x
  2. Step 2: Convert to fraction form
    96,698/150,042 = 150,042/x
  3. Step 3: Cross multiply
    96,698x = 150,042 × 150,042
  4. Step 4: Simplify right side
    96,698x = 22,512,601,764
  5. Step 5: Solve for x
    x = 22,512,601,764/96,698
  6. Step 6: Final answer
    x = 232,813.52

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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.