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Finding the Third Proportional to 113,508 and 171,126

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Solution

The third proportional to 113,508 and 171,126 is: 257,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,508 : 171,126 = 171,126 : x
  2. Step 2: Convert to fraction form
    113,508/171,126 = 171,126/x
  3. Step 3: Cross multiply
    113,508x = 171,126 × 171,126
  4. Step 4: Simplify right side
    113,508x = 29,284,107,876
  5. Step 5: Solve for x
    x = 29,284,107,876/113,508
  6. Step 6: Final answer
    x = 257,991.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.