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Finding the Third Proportional to 51,826 and 111,922

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Solution

The third proportional to 51,826 and 111,922 is: 241,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,826 : 111,922 = 111,922 : x
  2. Step 2: Convert to fraction form
    51,826/111,922 = 111,922/x
  3. Step 3: Cross multiply
    51,826x = 111,922 × 111,922
  4. Step 4: Simplify right side
    51,826x = 12,526,534,084
  5. Step 5: Solve for x
    x = 12,526,534,084/51,826
  6. Step 6: Final answer
    x = 241,703.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.