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Finding the Third Proportional to 64,413.50 and 89,005

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Solution

The third proportional to 64,413.50 and 89,005 is: 122,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,413.50 : 89,005 = 89,005 : x
  2. Step 2: Convert to fraction form
    64,413.50/89,005 = 89,005/x
  3. Step 3: Cross multiply
    64,413.50x = 89,005 × 89,005
  4. Step 4: Simplify right side
    64,413.50x = 7,921,890,025
  5. Step 5: Solve for x
    x = 7,921,890,025/64,413.50
  6. Step 6: Final answer
    x = 122,984.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.