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Finding the Third Proportional to 45,556 and 100,081

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Solution

The third proportional to 45,556 and 100,081 is: 219,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,556 : 100,081 = 100,081 : x
  2. Step 2: Convert to fraction form
    45,556/100,081 = 100,081/x
  3. Step 3: Cross multiply
    45,556x = 100,081 × 100,081
  4. Step 4: Simplify right side
    45,556x = 10,016,206,561
  5. Step 5: Solve for x
    x = 10,016,206,561/45,556
  6. Step 6: Final answer
    x = 219,865.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.