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Finding the Third Proportional to 59,627 and 80,969

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Solution

The third proportional to 59,627 and 80,969 is: 109,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,627 : 80,969 = 80,969 : x
  2. Step 2: Convert to fraction form
    59,627/80,969 = 80,969/x
  3. Step 3: Cross multiply
    59,627x = 80,969 × 80,969
  4. Step 4: Simplify right side
    59,627x = 6,555,978,961
  5. Step 5: Solve for x
    x = 6,555,978,961/59,627
  6. Step 6: Final answer
    x = 109,949.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.