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Finding the Third Proportional to 57,968 and 127,004

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Solution

The third proportional to 57,968 and 127,004 is: 278,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,968 : 127,004 = 127,004 : x
  2. Step 2: Convert to fraction form
    57,968/127,004 = 127,004/x
  3. Step 3: Cross multiply
    57,968x = 127,004 × 127,004
  4. Step 4: Simplify right side
    57,968x = 16,130,016,016
  5. Step 5: Solve for x
    x = 16,130,016,016/57,968
  6. Step 6: Final answer
    x = 278,257.25

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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.