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Finding the Third Proportional to 50,659 and 117,275

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Solution

The third proportional to 50,659 and 117,275 is: 271,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,659 : 117,275 = 117,275 : x
  2. Step 2: Convert to fraction form
    50,659/117,275 = 117,275/x
  3. Step 3: Cross multiply
    50,659x = 117,275 × 117,275
  4. Step 4: Simplify right side
    50,659x = 13,753,425,625
  5. Step 5: Solve for x
    x = 13,753,425,625/50,659
  6. Step 6: Final answer
    x = 271,490.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.