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Finding the Third Proportional to 68,936 and 110,603

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Solution

The third proportional to 68,936 and 110,603 is: 177,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,936 : 110,603 = 110,603 : x
  2. Step 2: Convert to fraction form
    68,936/110,603 = 110,603/x
  3. Step 3: Cross multiply
    68,936x = 110,603 × 110,603
  4. Step 4: Simplify right side
    68,936x = 12,233,023,609
  5. Step 5: Solve for x
    x = 12,233,023,609/68,936
  6. Step 6: Final answer
    x = 177,454.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.