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Finding the Third Proportional to 94,042 and 195,860

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Solution

The third proportional to 94,042 and 195,860 is: 407,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,042 : 195,860 = 195,860 : x
  2. Step 2: Convert to fraction form
    94,042/195,860 = 195,860/x
  3. Step 3: Cross multiply
    94,042x = 195,860 × 195,860
  4. Step 4: Simplify right side
    94,042x = 38,361,139,600
  5. Step 5: Solve for x
    x = 38,361,139,600/94,042
  6. Step 6: Final answer
    x = 407,914.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.