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Finding the Third Proportional to 51,961 and 111,933.75

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Solution

The third proportional to 51,961 and 111,933.75 is: 241,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961 : 111,933.75 = 111,933.75 : x
  2. Step 2: Convert to fraction form
    51,961/111,933.75 = 111,933.75/x
  3. Step 3: Cross multiply
    51,961x = 111,933.75 × 111,933.75
  4. Step 4: Simplify right side
    51,961x = 12,529,164,389.06
  5. Step 5: Solve for x
    x = 12,529,164,389.06/51,961
  6. Step 6: Final answer
    x = 241,126.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.