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Finding the Third Proportional to 48,677 and 104,401

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Solution

The third proportional to 48,677 and 104,401 is: 223,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677 : 104,401 = 104,401 : x
  2. Step 2: Convert to fraction form
    48,677/104,401 = 104,401/x
  3. Step 3: Cross multiply
    48,677x = 104,401 × 104,401
  4. Step 4: Simplify right side
    48,677x = 10,899,568,801
  5. Step 5: Solve for x
    x = 10,899,568,801/48,677
  6. Step 6: Final answer
    x = 223,916.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.