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Finding the Third Proportional to 50,242 and 109,901

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Solution

The third proportional to 50,242 and 109,901 is: 240,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,242 : 109,901 = 109,901 : x
  2. Step 2: Convert to fraction form
    50,242/109,901 = 109,901/x
  3. Step 3: Cross multiply
    50,242x = 109,901 × 109,901
  4. Step 4: Simplify right side
    50,242x = 12,078,229,801
  5. Step 5: Solve for x
    x = 12,078,229,801/50,242
  6. Step 6: Final answer
    x = 240,401.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.