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Finding the Third Proportional to 95,638 and 147,571

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Solution

The third proportional to 95,638 and 147,571 is: 227,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,638 : 147,571 = 147,571 : x
  2. Step 2: Convert to fraction form
    95,638/147,571 = 147,571/x
  3. Step 3: Cross multiply
    95,638x = 147,571 × 147,571
  4. Step 4: Simplify right side
    95,638x = 21,777,200,041
  5. Step 5: Solve for x
    x = 21,777,200,041/95,638
  6. Step 6: Final answer
    x = 227,704.47

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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.