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Finding the Third Proportional to 94,050 and 190,530

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Solution

The third proportional to 94,050 and 190,530 is: 385,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,050 : 190,530 = 190,530 : x
  2. Step 2: Convert to fraction form
    94,050/190,530 = 190,530/x
  3. Step 3: Cross multiply
    94,050x = 190,530 × 190,530
  4. Step 4: Simplify right side
    94,050x = 36,301,680,900
  5. Step 5: Solve for x
    x = 36,301,680,900/94,050
  6. Step 6: Final answer
    x = 385,982.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.