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Finding the Third Proportional to 57,999 and 127,203

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Solution

The third proportional to 57,999 and 127,203 is: 278,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,999 : 127,203 = 127,203 : x
  2. Step 2: Convert to fraction form
    57,999/127,203 = 127,203/x
  3. Step 3: Cross multiply
    57,999x = 127,203 × 127,203
  4. Step 4: Simplify right side
    57,999x = 16,180,603,209
  5. Step 5: Solve for x
    x = 16,180,603,209/57,999
  6. Step 6: Final answer
    x = 278,980.73

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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.