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Finding the Third Proportional to 126,413.25 and 271,586.25

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Solution

The third proportional to 126,413.25 and 271,586.25 is: 583,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,413.25 : 271,586.25 = 271,586.25 : x
  2. Step 2: Convert to fraction form
    126,413.25/271,586.25 = 271,586.25/x
  3. Step 3: Cross multiply
    126,413.25x = 271,586.25 × 271,586.25
  4. Step 4: Simplify right side
    126,413.25x = 73,759,091,189.06
  5. Step 5: Solve for x
    x = 73,759,091,189.06/126,413.25
  6. Step 6: Final answer
    x = 583,475.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.