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Finding the Third Proportional to 39,958 and 84,844

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Solution

The third proportional to 39,958 and 84,844 is: 180,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,958 : 84,844 = 84,844 : x
  2. Step 2: Convert to fraction form
    39,958/84,844 = 84,844/x
  3. Step 3: Cross multiply
    39,958x = 84,844 × 84,844
  4. Step 4: Simplify right side
    39,958x = 7,198,504,336
  5. Step 5: Solve for x
    x = 7,198,504,336/39,958
  6. Step 6: Final answer
    x = 180,151.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.