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Finding the Third Proportional to 51,454 and 104,338

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Solution

The third proportional to 51,454 and 104,338 is: 211,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,454 : 104,338 = 104,338 : x
  2. Step 2: Convert to fraction form
    51,454/104,338 = 104,338/x
  3. Step 3: Cross multiply
    51,454x = 104,338 × 104,338
  4. Step 4: Simplify right side
    51,454x = 10,886,418,244
  5. Step 5: Solve for x
    x = 10,886,418,244/51,454
  6. Step 6: Final answer
    x = 211,575.74

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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.