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Finding the Third Proportional to 44,980 and 67,226

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Solution

The third proportional to 44,980 and 67,226 is: 100,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,980 : 67,226 = 67,226 : x
  2. Step 2: Convert to fraction form
    44,980/67,226 = 67,226/x
  3. Step 3: Cross multiply
    44,980x = 67,226 × 67,226
  4. Step 4: Simplify right side
    44,980x = 4,519,335,076
  5. Step 5: Solve for x
    x = 4,519,335,076/44,980
  6. Step 6: Final answer
    x = 100,474.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.