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Finding the Third Proportional to 45,960 and 94,800

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Solution

The third proportional to 45,960 and 94,800 is: 195,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,960 : 94,800 = 94,800 : x
  2. Step 2: Convert to fraction form
    45,960/94,800 = 94,800/x
  3. Step 3: Cross multiply
    45,960x = 94,800 × 94,800
  4. Step 4: Simplify right side
    45,960x = 8,987,040,000
  5. Step 5: Solve for x
    x = 8,987,040,000/45,960
  6. Step 6: Final answer
    x = 195,540.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.