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Finding the Third Proportional to 51,819 and 107,532

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Solution

The third proportional to 51,819 and 107,532 is: 223,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819 : 107,532 = 107,532 : x
  2. Step 2: Convert to fraction form
    51,819/107,532 = 107,532/x
  3. Step 3: Cross multiply
    51,819x = 107,532 × 107,532
  4. Step 4: Simplify right side
    51,819x = 11,563,131,024
  5. Step 5: Solve for x
    x = 11,563,131,024/51,819
  6. Step 6: Final answer
    x = 223,144.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.