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Finding the Third Proportional to 57,884 and 117,378

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Solution

The third proportional to 57,884 and 117,378 is: 238,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,884 : 117,378 = 117,378 : x
  2. Step 2: Convert to fraction form
    57,884/117,378 = 117,378/x
  3. Step 3: Cross multiply
    57,884x = 117,378 × 117,378
  4. Step 4: Simplify right side
    57,884x = 13,777,594,884
  5. Step 5: Solve for x
    x = 13,777,594,884/57,884
  6. Step 6: Final answer
    x = 238,020.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.