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Finding the Third Proportional to 133,164 and 179,413.73

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Solution

The third proportional to 133,164 and 179,413.73 is: 241,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,164 : 179,413.73 = 179,413.73 : x
  2. Step 2: Convert to fraction form
    133,164/179,413.73 = 179,413.73/x
  3. Step 3: Cross multiply
    133,164x = 179,413.73 × 179,413.73
  4. Step 4: Simplify right side
    133,164x = 32,189,288,082.38
  5. Step 5: Solve for x
    x = 32,189,288,082.38/133,164
  6. Step 6: Final answer
    x = 241,726.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.