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Finding the Third Proportional to 50,690 and 105,988

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Solution

The third proportional to 50,690 and 105,988 is: 221,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,690 : 105,988 = 105,988 : x
  2. Step 2: Convert to fraction form
    50,690/105,988 = 105,988/x
  3. Step 3: Cross multiply
    50,690x = 105,988 × 105,988
  4. Step 4: Simplify right side
    50,690x = 11,233,456,144
  5. Step 5: Solve for x
    x = 11,233,456,144/50,690
  6. Step 6: Final answer
    x = 221,610.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.