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Finding the Third Proportional to 50,211 and 109,172

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Solution

The third proportional to 50,211 and 109,172 is: 237,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,211 : 109,172 = 109,172 : x
  2. Step 2: Convert to fraction form
    50,211/109,172 = 109,172/x
  3. Step 3: Cross multiply
    50,211x = 109,172 × 109,172
  4. Step 4: Simplify right side
    50,211x = 11,918,525,584
  5. Step 5: Solve for x
    x = 11,918,525,584/50,211
  6. Step 6: Final answer
    x = 237,368.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.