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Finding the Third Proportional to 139,020.75 and 223,841.25

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Solution

The third proportional to 139,020.75 and 223,841.25 is: 360,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,020.75 : 223,841.25 = 223,841.25 : x
  2. Step 2: Convert to fraction form
    139,020.75/223,841.25 = 223,841.25/x
  3. Step 3: Cross multiply
    139,020.75x = 223,841.25 × 223,841.25
  4. Step 4: Simplify right side
    139,020.75x = 50,104,905,201.56
  5. Step 5: Solve for x
    x = 50,104,905,201.56/139,020.75
  6. Step 6: Final answer
    x = 360,413.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.