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Finding the Third Proportional to 67,722 and 103,093

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Solution

The third proportional to 67,722 and 103,093 is: 156,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,722 : 103,093 = 103,093 : x
  2. Step 2: Convert to fraction form
    67,722/103,093 = 103,093/x
  3. Step 3: Cross multiply
    67,722x = 103,093 × 103,093
  4. Step 4: Simplify right side
    67,722x = 10,628,166,649
  5. Step 5: Solve for x
    x = 10,628,166,649/67,722
  6. Step 6: Final answer
    x = 156,938.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.