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Finding the Third Proportional to 94,059 and 190,548

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Solution

The third proportional to 94,059 and 190,548 is: 386,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,059 : 190,548 = 190,548 : x
  2. Step 2: Convert to fraction form
    94,059/190,548 = 190,548/x
  3. Step 3: Cross multiply
    94,059x = 190,548 × 190,548
  4. Step 4: Simplify right side
    94,059x = 36,308,540,304
  5. Step 5: Solve for x
    x = 36,308,540,304/94,059
  6. Step 6: Final answer
    x = 386,018.78

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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.