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Finding the Third Proportional to 45,598 and 100,401

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Solution

The third proportional to 45,598 and 100,401 is: 221,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,598 : 100,401 = 100,401 : x
  2. Step 2: Convert to fraction form
    45,598/100,401 = 100,401/x
  3. Step 3: Cross multiply
    45,598x = 100,401 × 100,401
  4. Step 4: Simplify right side
    45,598x = 10,080,360,801
  5. Step 5: Solve for x
    x = 10,080,360,801/45,598
  6. Step 6: Final answer
    x = 221,070.24

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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.