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Finding the Third Proportional to 45,286 and 93,756

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Solution

The third proportional to 45,286 and 93,756 is: 194,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,286 : 93,756 = 93,756 : x
  2. Step 2: Convert to fraction form
    45,286/93,756 = 93,756/x
  3. Step 3: Cross multiply
    45,286x = 93,756 × 93,756
  4. Step 4: Simplify right side
    45,286x = 8,790,187,536
  5. Step 5: Solve for x
    x = 8,790,187,536/45,286
  6. Step 6: Final answer
    x = 194,103.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.