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Finding the Third Proportional to 71,605 and 149,093

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Solution

The third proportional to 71,605 and 149,093 is: 310,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,605 : 149,093 = 149,093 : x
  2. Step 2: Convert to fraction form
    71,605/149,093 = 149,093/x
  3. Step 3: Cross multiply
    71,605x = 149,093 × 149,093
  4. Step 4: Simplify right side
    71,605x = 22,228,722,649
  5. Step 5: Solve for x
    x = 22,228,722,649/71,605
  6. Step 6: Final answer
    x = 310,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.