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Finding the Third Proportional to 42,849 and 95,634

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Solution

The third proportional to 42,849 and 95,634 is: 213,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,849 : 95,634 = 95,634 : x
  2. Step 2: Convert to fraction form
    42,849/95,634 = 95,634/x
  3. Step 3: Cross multiply
    42,849x = 95,634 × 95,634
  4. Step 4: Simplify right side
    42,849x = 9,145,861,956
  5. Step 5: Solve for x
    x = 9,145,861,956/42,849
  6. Step 6: Final answer
    x = 213,444

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.