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Finding the Third Proportional to 109,968 and 165,976

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Solution

The third proportional to 109,968 and 165,976 is: 250,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,968 : 165,976 = 165,976 : x
  2. Step 2: Convert to fraction form
    109,968/165,976 = 165,976/x
  3. Step 3: Cross multiply
    109,968x = 165,976 × 165,976
  4. Step 4: Simplify right side
    109,968x = 27,548,032,576
  5. Step 5: Solve for x
    x = 27,548,032,576/109,968
  6. Step 6: Final answer
    x = 250,509.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.