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Finding the Third Proportional to 51,847.50 and 113,739

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Solution

The third proportional to 51,847.50 and 113,739 is: 249,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847.50 : 113,739 = 113,739 : x
  2. Step 2: Convert to fraction form
    51,847.50/113,739 = 113,739/x
  3. Step 3: Cross multiply
    51,847.50x = 113,739 × 113,739
  4. Step 4: Simplify right side
    51,847.50x = 12,936,560,121
  5. Step 5: Solve for x
    x = 12,936,560,121/51,847.50
  6. Step 6: Final answer
    x = 249,511.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.