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Finding the Third Proportional to 54,526 and 117,401

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Solution

The third proportional to 54,526 and 117,401 is: 252,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,526 : 117,401 = 117,401 : x
  2. Step 2: Convert to fraction form
    54,526/117,401 = 117,401/x
  3. Step 3: Cross multiply
    54,526x = 117,401 × 117,401
  4. Step 4: Simplify right side
    54,526x = 13,782,994,801
  5. Step 5: Solve for x
    x = 13,782,994,801/54,526
  6. Step 6: Final answer
    x = 252,778.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.