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Finding the Third Proportional to 71,093 and 110,573

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Solution

The third proportional to 71,093 and 110,573 is: 171,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,093 : 110,573 = 110,573 : x
  2. Step 2: Convert to fraction form
    71,093/110,573 = 110,573/x
  3. Step 3: Cross multiply
    71,093x = 110,573 × 110,573
  4. Step 4: Simplify right side
    71,093x = 12,226,388,329
  5. Step 5: Solve for x
    x = 12,226,388,329/71,093
  6. Step 6: Final answer
    x = 171,977.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.