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Finding the Third Proportional to 51,510 and 108,647.25

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Solution

The third proportional to 51,510 and 108,647.25 is: 229,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510 : 108,647.25 = 108,647.25 : x
  2. Step 2: Convert to fraction form
    51,510/108,647.25 = 108,647.25/x
  3. Step 3: Cross multiply
    51,510x = 108,647.25 × 108,647.25
  4. Step 4: Simplify right side
    51,510x = 11,804,224,932.56
  5. Step 5: Solve for x
    x = 11,804,224,932.56/51,510
  6. Step 6: Final answer
    x = 229,163.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.