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Finding the Third Proportional to 66,939 and 107,625

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Solution

The third proportional to 66,939 and 107,625 is: 173,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,939 : 107,625 = 107,625 : x
  2. Step 2: Convert to fraction form
    66,939/107,625 = 107,625/x
  3. Step 3: Cross multiply
    66,939x = 107,625 × 107,625
  4. Step 4: Simplify right side
    66,939x = 11,583,140,625
  5. Step 5: Solve for x
    x = 11,583,140,625/66,939
  6. Step 6: Final answer
    x = 173,040.24

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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.