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Finding the Third Proportional to 115,968 and 165,393

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Solution

The third proportional to 115,968 and 165,393 is: 235,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,968 : 165,393 = 165,393 : x
  2. Step 2: Convert to fraction form
    115,968/165,393 = 165,393/x
  3. Step 3: Cross multiply
    115,968x = 165,393 × 165,393
  4. Step 4: Simplify right side
    115,968x = 27,354,844,449
  5. Step 5: Solve for x
    x = 27,354,844,449/115,968
  6. Step 6: Final answer
    x = 235,882.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.