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Finding the Third Proportional to 96,476 and 150,891

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Solution

The third proportional to 96,476 and 150,891 is: 235,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,476 : 150,891 = 150,891 : x
  2. Step 2: Convert to fraction form
    96,476/150,891 = 150,891/x
  3. Step 3: Cross multiply
    96,476x = 150,891 × 150,891
  4. Step 4: Simplify right side
    96,476x = 22,768,093,881
  5. Step 5: Solve for x
    x = 22,768,093,881/96,476
  6. Step 6: Final answer
    x = 235,997.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.