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Finding the Third Proportional to 50,982 and 112,050

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Solution

The third proportional to 50,982 and 112,050 is: 246,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,982 : 112,050 = 112,050 : x
  2. Step 2: Convert to fraction form
    50,982/112,050 = 112,050/x
  3. Step 3: Cross multiply
    50,982x = 112,050 × 112,050
  4. Step 4: Simplify right side
    50,982x = 12,555,202,500
  5. Step 5: Solve for x
    x = 12,555,202,500/50,982
  6. Step 6: Final answer
    x = 246,267.36

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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.