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Finding the Third Proportional to 113,536 and 171,876

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Solution

The third proportional to 113,536 and 171,876 is: 260,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,536 : 171,876 = 171,876 : x
  2. Step 2: Convert to fraction form
    113,536/171,876 = 171,876/x
  3. Step 3: Cross multiply
    113,536x = 171,876 × 171,876
  4. Step 4: Simplify right side
    113,536x = 29,541,359,376
  5. Step 5: Solve for x
    x = 29,541,359,376/113,536
  6. Step 6: Final answer
    x = 260,193.77

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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.