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Finding the Third Proportional to 55,388.25 and 120,801.38

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Solution

The third proportional to 55,388.25 and 120,801.38 is: 263,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,388.25 : 120,801.38 = 120,801.38 : x
  2. Step 2: Convert to fraction form
    55,388.25/120,801.38 = 120,801.38/x
  3. Step 3: Cross multiply
    55,388.25x = 120,801.38 × 120,801.38
  4. Step 4: Simplify right side
    55,388.25x = 14,592,972,201.89
  5. Step 5: Solve for x
    x = 14,592,972,201.89/55,388.25
  6. Step 6: Final answer
    x = 263,466.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.