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Finding the Third Proportional to 120,774 and 173,961

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Solution

The third proportional to 120,774 and 173,961 is: 250,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,774 : 173,961 = 173,961 : x
  2. Step 2: Convert to fraction form
    120,774/173,961 = 173,961/x
  3. Step 3: Cross multiply
    120,774x = 173,961 × 173,961
  4. Step 4: Simplify right side
    120,774x = 30,262,429,521
  5. Step 5: Solve for x
    x = 30,262,429,521/120,774
  6. Step 6: Final answer
    x = 250,570.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.