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Finding the Third Proportional to 127,960 and 264,116

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Solution

The third proportional to 127,960 and 264,116 is: 545,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,960 : 264,116 = 264,116 : x
  2. Step 2: Convert to fraction form
    127,960/264,116 = 264,116/x
  3. Step 3: Cross multiply
    127,960x = 264,116 × 264,116
  4. Step 4: Simplify right side
    127,960x = 69,757,261,456
  5. Step 5: Solve for x
    x = 69,757,261,456/127,960
  6. Step 6: Final answer
    x = 545,148.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.