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Finding the Third Proportional to 48,562 and 98,906

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Solution

The third proportional to 48,562 and 98,906 is: 201,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,562 : 98,906 = 98,906 : x
  2. Step 2: Convert to fraction form
    48,562/98,906 = 98,906/x
  3. Step 3: Cross multiply
    48,562x = 98,906 × 98,906
  4. Step 4: Simplify right side
    48,562x = 9,782,396,836
  5. Step 5: Solve for x
    x = 9,782,396,836/48,562
  6. Step 6: Final answer
    x = 201,441.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.