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Finding the Third Proportional to 75,743 and 159,475

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Solution

The third proportional to 75,743 and 159,475 is: 335,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743 : 159,475 = 159,475 : x
  2. Step 2: Convert to fraction form
    75,743/159,475 = 159,475/x
  3. Step 3: Cross multiply
    75,743x = 159,475 × 159,475
  4. Step 4: Simplify right side
    75,743x = 25,432,275,625
  5. Step 5: Solve for x
    x = 25,432,275,625/75,743
  6. Step 6: Final answer
    x = 335,770.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.