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Finding the Third Proportional to 122,267.25 and 252,391.25

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Solution

The third proportional to 122,267.25 and 252,391.25 is: 521,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,267.25 : 252,391.25 = 252,391.25 : x
  2. Step 2: Convert to fraction form
    122,267.25/252,391.25 = 252,391.25/x
  3. Step 3: Cross multiply
    122,267.25x = 252,391.25 × 252,391.25
  4. Step 4: Simplify right side
    122,267.25x = 63,701,343,076.56
  5. Step 5: Solve for x
    x = 63,701,343,076.56/122,267.25
  6. Step 6: Final answer
    x = 521,000.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.