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Finding the Third Proportional to 57,993 and 127,194

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Solution

The third proportional to 57,993 and 127,194 is: 278,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,993 : 127,194 = 127,194 : x
  2. Step 2: Convert to fraction form
    57,993/127,194 = 127,194/x
  3. Step 3: Cross multiply
    57,993x = 127,194 × 127,194
  4. Step 4: Simplify right side
    57,993x = 16,178,313,636
  5. Step 5: Solve for x
    x = 16,178,313,636/57,993
  6. Step 6: Final answer
    x = 278,970.11

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Why These Related Problems?

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