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Finding the Third Proportional to 51,825.50 and 111,921

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Solution

The third proportional to 51,825.50 and 111,921 is: 241,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825.50 : 111,921 = 111,921 : x
  2. Step 2: Convert to fraction form
    51,825.50/111,921 = 111,921/x
  3. Step 3: Cross multiply
    51,825.50x = 111,921 × 111,921
  4. Step 4: Simplify right side
    51,825.50x = 12,526,310,241
  5. Step 5: Solve for x
    x = 12,526,310,241/51,825.50
  6. Step 6: Final answer
    x = 241,701.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.