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Finding the Third Proportional to 50,559 and 109,503

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Solution

The third proportional to 50,559 and 109,503 is: 237,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,559 : 109,503 = 109,503 : x
  2. Step 2: Convert to fraction form
    50,559/109,503 = 109,503/x
  3. Step 3: Cross multiply
    50,559x = 109,503 × 109,503
  4. Step 4: Simplify right side
    50,559x = 11,990,907,009
  5. Step 5: Solve for x
    x = 11,990,907,009/50,559
  6. Step 6: Final answer
    x = 237,166.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.