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Finding the Third Proportional to 45,571 and 100,103

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Solution

The third proportional to 45,571 and 100,103 is: 219,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,571 : 100,103 = 100,103 : x
  2. Step 2: Convert to fraction form
    45,571/100,103 = 100,103/x
  3. Step 3: Cross multiply
    45,571x = 100,103 × 100,103
  4. Step 4: Simplify right side
    45,571x = 10,020,610,609
  5. Step 5: Solve for x
    x = 10,020,610,609/45,571
  6. Step 6: Final answer
    x = 219,890.08

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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.