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Finding the Third Proportional to 94,266 and 195,094

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Solution

The third proportional to 94,266 and 195,094 is: 403,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,266 : 195,094 = 195,094 : x
  2. Step 2: Convert to fraction form
    94,266/195,094 = 195,094/x
  3. Step 3: Cross multiply
    94,266x = 195,094 × 195,094
  4. Step 4: Simplify right side
    94,266x = 38,061,668,836
  5. Step 5: Solve for x
    x = 38,061,668,836/94,266
  6. Step 6: Final answer
    x = 403,768.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.