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Finding the Third Proportional to 94,214 and 192,748

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Solution

The third proportional to 94,214 and 192,748 is: 394,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,214 : 192,748 = 192,748 : x
  2. Step 2: Convert to fraction form
    94,214/192,748 = 192,748/x
  3. Step 3: Cross multiply
    94,214x = 192,748 × 192,748
  4. Step 4: Simplify right side
    94,214x = 37,151,791,504
  5. Step 5: Solve for x
    x = 37,151,791,504/94,214
  6. Step 6: Final answer
    x = 394,334.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.