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Finding the Third Proportional to 83,413.50 and 125,840.25

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Solution

The third proportional to 83,413.50 and 125,840.25 is: 189,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,413.50 : 125,840.25 = 125,840.25 : x
  2. Step 2: Convert to fraction form
    83,413.50/125,840.25 = 125,840.25/x
  3. Step 3: Cross multiply
    83,413.50x = 125,840.25 × 125,840.25
  4. Step 4: Simplify right side
    83,413.50x = 15,835,768,520.06
  5. Step 5: Solve for x
    x = 15,835,768,520.06/83,413.50
  6. Step 6: Final answer
    x = 189,846.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.