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Finding the Third Proportional to 37,701 and 81,963

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Solution

The third proportional to 37,701 and 81,963 is: 178,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701 : 81,963 = 81,963 : x
  2. Step 2: Convert to fraction form
    37,701/81,963 = 81,963/x
  3. Step 3: Cross multiply
    37,701x = 81,963 × 81,963
  4. Step 4: Simplify right side
    37,701x = 6,717,933,369
  5. Step 5: Solve for x
    x = 6,717,933,369/37,701
  6. Step 6: Final answer
    x = 178,189.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.