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Finding the Third Proportional to 109,170 and 173,595

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Solution

The third proportional to 109,170 and 173,595 is: 276,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170 : 173,595 = 173,595 : x
  2. Step 2: Convert to fraction form
    109,170/173,595 = 173,595/x
  3. Step 3: Cross multiply
    109,170x = 173,595 × 173,595
  4. Step 4: Simplify right side
    109,170x = 30,135,224,025
  5. Step 5: Solve for x
    x = 30,135,224,025/109,170
  6. Step 6: Final answer
    x = 276,039.42

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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.