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Finding the Third Proportional to 43,035 and 93,858

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Solution

The third proportional to 43,035 and 93,858 is: 204,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,035 : 93,858 = 93,858 : x
  2. Step 2: Convert to fraction form
    43,035/93,858 = 93,858/x
  3. Step 3: Cross multiply
    43,035x = 93,858 × 93,858
  4. Step 4: Simplify right side
    43,035x = 8,809,324,164
  5. Step 5: Solve for x
    x = 8,809,324,164/43,035
  6. Step 6: Final answer
    x = 204,701.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.