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Finding the Third Proportional to 51,940.50 and 112,629

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Solution

The third proportional to 51,940.50 and 112,629 is: 244,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940.50 : 112,629 = 112,629 : x
  2. Step 2: Convert to fraction form
    51,940.50/112,629 = 112,629/x
  3. Step 3: Cross multiply
    51,940.50x = 112,629 × 112,629
  4. Step 4: Simplify right side
    51,940.50x = 12,685,291,641
  5. Step 5: Solve for x
    x = 12,685,291,641/51,940.50
  6. Step 6: Final answer
    x = 244,227.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.