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Finding the Third Proportional to 50,834 and 111,643

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Solution

The third proportional to 50,834 and 111,643 is: 245,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834 : 111,643 = 111,643 : x
  2. Step 2: Convert to fraction form
    50,834/111,643 = 111,643/x
  3. Step 3: Cross multiply
    50,834x = 111,643 × 111,643
  4. Step 4: Simplify right side
    50,834x = 12,464,159,449
  5. Step 5: Solve for x
    x = 12,464,159,449/50,834
  6. Step 6: Final answer
    x = 245,193.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.