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Finding the Third Proportional to 96,992 and 149,772

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Solution

The third proportional to 96,992 and 149,772 is: 231,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,992 : 149,772 = 149,772 : x
  2. Step 2: Convert to fraction form
    96,992/149,772 = 149,772/x
  3. Step 3: Cross multiply
    96,992x = 149,772 × 149,772
  4. Step 4: Simplify right side
    96,992x = 22,431,651,984
  5. Step 5: Solve for x
    x = 22,431,651,984/96,992
  6. Step 6: Final answer
    x = 231,273.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.