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Finding the Third Proportional to 109,297 and 173,794

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Solution

The third proportional to 109,297 and 173,794 is: 276,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,297 : 173,794 = 173,794 : x
  2. Step 2: Convert to fraction form
    109,297/173,794 = 173,794/x
  3. Step 3: Cross multiply
    109,297x = 173,794 × 173,794
  4. Step 4: Simplify right side
    109,297x = 30,204,354,436
  5. Step 5: Solve for x
    x = 30,204,354,436/109,297
  6. Step 6: Final answer
    x = 276,351.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.