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Finding the Third Proportional to 94,705.50 and 204,171

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Solution

The third proportional to 94,705.50 and 204,171 is: 440,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,705.50 : 204,171 = 204,171 : x
  2. Step 2: Convert to fraction form
    94,705.50/204,171 = 204,171/x
  3. Step 3: Cross multiply
    94,705.50x = 204,171 × 204,171
  4. Step 4: Simplify right side
    94,705.50x = 41,685,797,241
  5. Step 5: Solve for x
    x = 41,685,797,241/94,705.50
  6. Step 6: Final answer
    x = 440,162.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.