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Finding the Third Proportional to 37,419 and 81,885

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Solution

The third proportional to 37,419 and 81,885 is: 179,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419 : 81,885 = 81,885 : x
  2. Step 2: Convert to fraction form
    37,419/81,885 = 81,885/x
  3. Step 3: Cross multiply
    37,419x = 81,885 × 81,885
  4. Step 4: Simplify right side
    37,419x = 6,705,153,225
  5. Step 5: Solve for x
    x = 6,705,153,225/37,419
  6. Step 6: Final answer
    x = 179,191.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.