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Finding the Third Proportional to 51,840 and 111,048

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Solution

The third proportional to 51,840 and 111,048 is: 237,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 111,048 = 111,048 : x
  2. Step 2: Convert to fraction form
    51,840/111,048 = 111,048/x
  3. Step 3: Cross multiply
    51,840x = 111,048 × 111,048
  4. Step 4: Simplify right side
    51,840x = 12,331,658,304
  5. Step 5: Solve for x
    x = 12,331,658,304/51,840
  6. Step 6: Final answer
    x = 237,879.21

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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.