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Finding the Third Proportional to 94,413.50 and 144,085

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Solution

The third proportional to 94,413.50 and 144,085 is: 219,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,413.50 : 144,085 = 144,085 : x
  2. Step 2: Convert to fraction form
    94,413.50/144,085 = 144,085/x
  3. Step 3: Cross multiply
    94,413.50x = 144,085 × 144,085
  4. Step 4: Simplify right side
    94,413.50x = 20,760,487,225
  5. Step 5: Solve for x
    x = 20,760,487,225/94,413.50
  6. Step 6: Final answer
    x = 219,888.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.