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Finding the Third Proportional to 121,188 and 262,245

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Solution

The third proportional to 121,188 and 262,245 is: 567,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,188 : 262,245 = 262,245 : x
  2. Step 2: Convert to fraction form
    121,188/262,245 = 262,245/x
  3. Step 3: Cross multiply
    121,188x = 262,245 × 262,245
  4. Step 4: Simplify right side
    121,188x = 68,772,440,025
  5. Step 5: Solve for x
    x = 68,772,440,025/121,188
  6. Step 6: Final answer
    x = 567,485.56

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