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Finding the Third Proportional to 61,406.86 and 135,183.94

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Solution

The third proportional to 61,406.86 and 135,183.94 is: 297,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406.86 : 135,183.94 = 135,183.94 : x
  2. Step 2: Convert to fraction form
    61,406.86/135,183.94 = 135,183.94/x
  3. Step 3: Cross multiply
    61,406.86x = 135,183.94 × 135,183.94
  4. Step 4: Simplify right side
    61,406.86x = 18,274,696,958.00
  5. Step 5: Solve for x
    x = 18,274,696,958.00/61,406.86
  6. Step 6: Final answer
    x = 297,600.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.