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Finding the Third Proportional to 70,954 and 109,093

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Solution

The third proportional to 70,954 and 109,093 is: 167,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,954 : 109,093 = 109,093 : x
  2. Step 2: Convert to fraction form
    70,954/109,093 = 109,093/x
  3. Step 3: Cross multiply
    70,954x = 109,093 × 109,093
  4. Step 4: Simplify right side
    70,954x = 11,901,282,649
  5. Step 5: Solve for x
    x = 11,901,282,649/70,954
  6. Step 6: Final answer
    x = 167,732.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.