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Finding the Third Proportional to 85,379.25 and 137,181.38

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Solution

The third proportional to 85,379.25 and 137,181.38 is: 220,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,379.25 : 137,181.38 = 137,181.38 : x
  2. Step 2: Convert to fraction form
    85,379.25/137,181.38 = 137,181.38/x
  3. Step 3: Cross multiply
    85,379.25x = 137,181.38 × 137,181.38
  4. Step 4: Simplify right side
    85,379.25x = 18,818,729,646.89
  5. Step 5: Solve for x
    x = 18,818,729,646.89/85,379.25
  6. Step 6: Final answer
    x = 220,413.39

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.