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Finding the Third Proportional to 55,083.38 and 120,433.50

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Solution

The third proportional to 55,083.38 and 120,433.50 is: 263,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083.38 : 120,433.50 = 120,433.50 : x
  2. Step 2: Convert to fraction form
    55,083.38/120,433.50 = 120,433.50/x
  3. Step 3: Cross multiply
    55,083.38x = 120,433.50 × 120,433.50
  4. Step 4: Simplify right side
    55,083.38x = 14,504,227,922.25
  5. Step 5: Solve for x
    x = 14,504,227,922.25/55,083.38
  6. Step 6: Final answer
    x = 263,314.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.