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Finding the Third Proportional to 96,032 and 151,941

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Solution

The third proportional to 96,032 and 151,941 is: 240,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,032 : 151,941 = 151,941 : x
  2. Step 2: Convert to fraction form
    96,032/151,941 = 151,941/x
  3. Step 3: Cross multiply
    96,032x = 151,941 × 151,941
  4. Step 4: Simplify right side
    96,032x = 23,086,067,481
  5. Step 5: Solve for x
    x = 23,086,067,481/96,032
  6. Step 6: Final answer
    x = 240,399.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.