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Finding the Third Proportional to 37,119 and 54,981

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Solution

The third proportional to 37,119 and 54,981 is: 81,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,119 : 54,981 = 54,981 : x
  2. Step 2: Convert to fraction form
    37,119/54,981 = 54,981/x
  3. Step 3: Cross multiply
    37,119x = 54,981 × 54,981
  4. Step 4: Simplify right side
    37,119x = 3,022,910,361
  5. Step 5: Solve for x
    x = 3,022,910,361/37,119
  6. Step 6: Final answer
    x = 81,438.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.