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Finding the Third Proportional to 49,382 and 106,257

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Solution

The third proportional to 49,382 and 106,257 is: 228,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,382 : 106,257 = 106,257 : x
  2. Step 2: Convert to fraction form
    49,382/106,257 = 106,257/x
  3. Step 3: Cross multiply
    49,382x = 106,257 × 106,257
  4. Step 4: Simplify right side
    49,382x = 11,290,550,049
  5. Step 5: Solve for x
    x = 11,290,550,049/49,382
  6. Step 6: Final answer
    x = 228,636.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.