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Finding the Third Proportional to 42,064.50 and 89,965.50

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Solution

The third proportional to 42,064.50 and 89,965.50 is: 192,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,064.50 : 89,965.50 = 89,965.50 : x
  2. Step 2: Convert to fraction form
    42,064.50/89,965.50 = 89,965.50/x
  3. Step 3: Cross multiply
    42,064.50x = 89,965.50 × 89,965.50
  4. Step 4: Simplify right side
    42,064.50x = 8,093,791,190.25
  5. Step 5: Solve for x
    x = 8,093,791,190.25/42,064.50
  6. Step 6: Final answer
    x = 192,413.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.