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Finding the Third Proportional to 77,774 and 171,100

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Solution

The third proportional to 77,774 and 171,100 is: 376,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,774 : 171,100 = 171,100 : x
  2. Step 2: Convert to fraction form
    77,774/171,100 = 171,100/x
  3. Step 3: Cross multiply
    77,774x = 171,100 × 171,100
  4. Step 4: Simplify right side
    77,774x = 29,275,210,000
  5. Step 5: Solve for x
    x = 29,275,210,000/77,774
  6. Step 6: Final answer
    x = 376,413.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.