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Finding the Third Proportional to 45,605 and 100,201

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Solution

The third proportional to 45,605 and 100,201 is: 220,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,605 : 100,201 = 100,201 : x
  2. Step 2: Convert to fraction form
    45,605/100,201 = 100,201/x
  3. Step 3: Cross multiply
    45,605x = 100,201 × 100,201
  4. Step 4: Simplify right side
    45,605x = 10,040,240,401
  5. Step 5: Solve for x
    x = 10,040,240,401/45,605
  6. Step 6: Final answer
    x = 220,156.57

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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.