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Finding the Third Proportional to 51,444 and 104,319

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Solution

The third proportional to 51,444 and 104,319 is: 211,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,444 : 104,319 = 104,319 : x
  2. Step 2: Convert to fraction form
    51,444/104,319 = 104,319/x
  3. Step 3: Cross multiply
    51,444x = 104,319 × 104,319
  4. Step 4: Simplify right side
    51,444x = 10,882,453,761
  5. Step 5: Solve for x
    x = 10,882,453,761/51,444
  6. Step 6: Final answer
    x = 211,539.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.