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Finding the Third Proportional to 51,244 and 105,040

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Solution

The third proportional to 51,244 and 105,040 is: 215,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,244 : 105,040 = 105,040 : x
  2. Step 2: Convert to fraction form
    51,244/105,040 = 105,040/x
  3. Step 3: Cross multiply
    51,244x = 105,040 × 105,040
  4. Step 4: Simplify right side
    51,244x = 11,033,401,600
  5. Step 5: Solve for x
    x = 11,033,401,600/51,244
  6. Step 6: Final answer
    x = 215,311.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.