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Finding the Third Proportional to 51,751.50 and 110,883

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Solution

The third proportional to 51,751.50 and 110,883 is: 237,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,751.50 : 110,883 = 110,883 : x
  2. Step 2: Convert to fraction form
    51,751.50/110,883 = 110,883/x
  3. Step 3: Cross multiply
    51,751.50x = 110,883 × 110,883
  4. Step 4: Simplify right side
    51,751.50x = 12,295,039,689
  5. Step 5: Solve for x
    x = 12,295,039,689/51,751.50
  6. Step 6: Final answer
    x = 237,578.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.