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Finding the Third Proportional to 127,968 and 264,132

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Solution

The third proportional to 127,968 and 264,132 is: 545,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,968 : 264,132 = 264,132 : x
  2. Step 2: Convert to fraction form
    127,968/264,132 = 264,132/x
  3. Step 3: Cross multiply
    127,968x = 264,132 × 264,132
  4. Step 4: Simplify right side
    127,968x = 69,765,713,424
  5. Step 5: Solve for x
    x = 69,765,713,424/127,968
  6. Step 6: Final answer
    x = 545,180.93

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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.