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Finding the Third Proportional to 55,840.22 and 120,428.44

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Solution

The third proportional to 55,840.22 and 120,428.44 is: 259,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,840.22 : 120,428.44 = 120,428.44 : x
  2. Step 2: Convert to fraction form
    55,840.22/120,428.44 = 120,428.44/x
  3. Step 3: Cross multiply
    55,840.22x = 120,428.44 × 120,428.44
  4. Step 4: Simplify right side
    55,840.22x = 14,503,008,558.69
  5. Step 5: Solve for x
    x = 14,503,008,558.69/55,840.22
  6. Step 6: Final answer
    x = 259,723.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.