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Finding the Third Proportional to 94,006 and 192,597

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Solution

The third proportional to 94,006 and 192,597 is: 394,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,006 : 192,597 = 192,597 : x
  2. Step 2: Convert to fraction form
    94,006/192,597 = 192,597/x
  3. Step 3: Cross multiply
    94,006x = 192,597 × 192,597
  4. Step 4: Simplify right side
    94,006x = 37,093,604,409
  5. Step 5: Solve for x
    x = 37,093,604,409/94,006
  6. Step 6: Final answer
    x = 394,587.63

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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.