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Finding the Third Proportional to 50,841 and 111,492

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Solution

The third proportional to 50,841 and 111,492 is: 244,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,841 : 111,492 = 111,492 : x
  2. Step 2: Convert to fraction form
    50,841/111,492 = 111,492/x
  3. Step 3: Cross multiply
    50,841x = 111,492 × 111,492
  4. Step 4: Simplify right side
    50,841x = 12,430,466,064
  5. Step 5: Solve for x
    x = 12,430,466,064/50,841
  6. Step 6: Final answer
    x = 244,496.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.