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Finding the Third Proportional to 96,962 and 150,051

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Solution

The third proportional to 96,962 and 150,051 is: 232,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962 : 150,051 = 150,051 : x
  2. Step 2: Convert to fraction form
    96,962/150,051 = 150,051/x
  3. Step 3: Cross multiply
    96,962x = 150,051 × 150,051
  4. Step 4: Simplify right side
    96,962x = 22,515,302,601
  5. Step 5: Solve for x
    x = 22,515,302,601/96,962
  6. Step 6: Final answer
    x = 232,207.49

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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.