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Finding the Third Proportional to 115,904 and 165,431

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Solution

The third proportional to 115,904 and 165,431 is: 236,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,904 : 165,431 = 165,431 : x
  2. Step 2: Convert to fraction form
    115,904/165,431 = 165,431/x
  3. Step 3: Cross multiply
    115,904x = 165,431 × 165,431
  4. Step 4: Simplify right side
    115,904x = 27,367,415,761
  5. Step 5: Solve for x
    x = 27,367,415,761/115,904
  6. Step 6: Final answer
    x = 236,121.41

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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.