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Finding the Third Proportional to 122,804 and 190,200

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Solution

The third proportional to 122,804 and 190,200 is: 294,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,804 : 190,200 = 190,200 : x
  2. Step 2: Convert to fraction form
    122,804/190,200 = 190,200/x
  3. Step 3: Cross multiply
    122,804x = 190,200 × 190,200
  4. Step 4: Simplify right side
    122,804x = 36,176,040,000
  5. Step 5: Solve for x
    x = 36,176,040,000/122,804
  6. Step 6: Final answer
    x = 294,583.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.