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Finding the Third Proportional to 57,961 and 127,005

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Solution

The third proportional to 57,961 and 127,005 is: 278,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,961 : 127,005 = 127,005 : x
  2. Step 2: Convert to fraction form
    57,961/127,005 = 127,005/x
  3. Step 3: Cross multiply
    57,961x = 127,005 × 127,005
  4. Step 4: Simplify right side
    57,961x = 16,130,270,025
  5. Step 5: Solve for x
    x = 16,130,270,025/57,961
  6. Step 6: Final answer
    x = 278,295.23

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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.