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Finding the Third Proportional to 113,828 and 163,975

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Solution

The third proportional to 113,828 and 163,975 is: 236,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,828 : 163,975 = 163,975 : x
  2. Step 2: Convert to fraction form
    113,828/163,975 = 163,975/x
  3. Step 3: Cross multiply
    113,828x = 163,975 × 163,975
  4. Step 4: Simplify right side
    113,828x = 26,887,800,625
  5. Step 5: Solve for x
    x = 26,887,800,625/113,828
  6. Step 6: Final answer
    x = 236,214.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.