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Finding the Third Proportional to 51,919 and 113,666

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Solution

The third proportional to 51,919 and 113,666 is: 248,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919 : 113,666 = 113,666 : x
  2. Step 2: Convert to fraction form
    51,919/113,666 = 113,666/x
  3. Step 3: Cross multiply
    51,919x = 113,666 × 113,666
  4. Step 4: Simplify right side
    51,919x = 12,919,959,556
  5. Step 5: Solve for x
    x = 12,919,959,556/51,919
  6. Step 6: Final answer
    x = 248,848.39

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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.