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Finding the Third Proportional to 48,846 and 100,284

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Solution

The third proportional to 48,846 and 100,284 is: 205,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,846 : 100,284 = 100,284 : x
  2. Step 2: Convert to fraction form
    48,846/100,284 = 100,284/x
  3. Step 3: Cross multiply
    48,846x = 100,284 × 100,284
  4. Step 4: Simplify right side
    48,846x = 10,056,880,656
  5. Step 5: Solve for x
    x = 10,056,880,656/48,846
  6. Step 6: Final answer
    x = 205,889.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.