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Finding the Third Proportional to 115,957 and 179,413.50

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Solution

The third proportional to 115,957 and 179,413.50 is: 277,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,957 : 179,413.50 = 179,413.50 : x
  2. Step 2: Convert to fraction form
    115,957/179,413.50 = 179,413.50/x
  3. Step 3: Cross multiply
    115,957x = 179,413.50 × 179,413.50
  4. Step 4: Simplify right side
    115,957x = 32,189,203,982.25
  5. Step 5: Solve for x
    x = 32,189,203,982.25/115,957
  6. Step 6: Final answer
    x = 277,596.04

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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.