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Finding the Third Proportional to 43,682 and 93,083

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Solution

The third proportional to 43,682 and 93,083 is: 198,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,682 : 93,083 = 93,083 : x
  2. Step 2: Convert to fraction form
    43,682/93,083 = 93,083/x
  3. Step 3: Cross multiply
    43,682x = 93,083 × 93,083
  4. Step 4: Simplify right side
    43,682x = 8,664,444,889
  5. Step 5: Solve for x
    x = 8,664,444,889/43,682
  6. Step 6: Final answer
    x = 198,352.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.