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Finding the Third Proportional to 57,928 and 127,120

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Solution

The third proportional to 57,928 and 127,120 is: 278,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,928 : 127,120 = 127,120 : x
  2. Step 2: Convert to fraction form
    57,928/127,120 = 127,120/x
  3. Step 3: Cross multiply
    57,928x = 127,120 × 127,120
  4. Step 4: Simplify right side
    57,928x = 16,159,494,400
  5. Step 5: Solve for x
    x = 16,159,494,400/57,928
  6. Step 6: Final answer
    x = 278,958.27

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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.