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Finding the Third Proportional to 48,235 and 100,166

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Solution

The third proportional to 48,235 and 100,166 is: 208,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,235 : 100,166 = 100,166 : x
  2. Step 2: Convert to fraction form
    48,235/100,166 = 100,166/x
  3. Step 3: Cross multiply
    48,235x = 100,166 × 100,166
  4. Step 4: Simplify right side
    48,235x = 10,033,227,556
  5. Step 5: Solve for x
    x = 10,033,227,556/48,235
  6. Step 6: Final answer
    x = 208,007.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.