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Finding the Third Proportional to 49,494 and 110,031

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Solution

The third proportional to 49,494 and 110,031 is: 244,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494 : 110,031 = 110,031 : x
  2. Step 2: Convert to fraction form
    49,494/110,031 = 110,031/x
  3. Step 3: Cross multiply
    49,494x = 110,031 × 110,031
  4. Step 4: Simplify right side
    49,494x = 12,106,820,961
  5. Step 5: Solve for x
    x = 12,106,820,961/49,494
  6. Step 6: Final answer
    x = 244,611.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.