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Finding the Third Proportional to 50,989.50 and 106,623

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Solution

The third proportional to 50,989.50 and 106,623 is: 222,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,989.50 : 106,623 = 106,623 : x
  2. Step 2: Convert to fraction form
    50,989.50/106,623 = 106,623/x
  3. Step 3: Cross multiply
    50,989.50x = 106,623 × 106,623
  4. Step 4: Simplify right side
    50,989.50x = 11,368,464,129
  5. Step 5: Solve for x
    x = 11,368,464,129/50,989.50
  6. Step 6: Final answer
    x = 222,956.96

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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.