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Finding the Third Proportional to 94,102 and 195,948

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Solution

The third proportional to 94,102 and 195,948 is: 408,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,102 : 195,948 = 195,948 : x
  2. Step 2: Convert to fraction form
    94,102/195,948 = 195,948/x
  3. Step 3: Cross multiply
    94,102x = 195,948 × 195,948
  4. Step 4: Simplify right side
    94,102x = 38,395,618,704
  5. Step 5: Solve for x
    x = 38,395,618,704/94,102
  6. Step 6: Final answer
    x = 408,021.28

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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.