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Finding the Third Proportional to 50,980 and 105,544

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Solution

The third proportional to 50,980 and 105,544 is: 218,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,980 : 105,544 = 105,544 : x
  2. Step 2: Convert to fraction form
    50,980/105,544 = 105,544/x
  3. Step 3: Cross multiply
    50,980x = 105,544 × 105,544
  4. Step 4: Simplify right side
    50,980x = 11,139,535,936
  5. Step 5: Solve for x
    x = 11,139,535,936/50,980
  6. Step 6: Final answer
    x = 218,507.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.