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Finding the Third Proportional to 49,935 and 105,503

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Solution

The third proportional to 49,935 and 105,503 is: 222,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,935 : 105,503 = 105,503 : x
  2. Step 2: Convert to fraction form
    49,935/105,503 = 105,503/x
  3. Step 3: Cross multiply
    49,935x = 105,503 × 105,503
  4. Step 4: Simplify right side
    49,935x = 11,130,883,009
  5. Step 5: Solve for x
    x = 11,130,883,009/49,935
  6. Step 6: Final answer
    x = 222,907.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.