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Finding the Third Proportional to 50,991 and 109,363

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Solution

The third proportional to 50,991 and 109,363 is: 234,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,991 : 109,363 = 109,363 : x
  2. Step 2: Convert to fraction form
    50,991/109,363 = 109,363/x
  3. Step 3: Cross multiply
    50,991x = 109,363 × 109,363
  4. Step 4: Simplify right side
    50,991x = 11,960,265,769
  5. Step 5: Solve for x
    x = 11,960,265,769/50,991
  6. Step 6: Final answer
    x = 234,556.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.