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Finding the Third Proportional to 110,976 and 169,230

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Solution

The third proportional to 110,976 and 169,230 is: 258,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,976 : 169,230 = 169,230 : x
  2. Step 2: Convert to fraction form
    110,976/169,230 = 169,230/x
  3. Step 3: Cross multiply
    110,976x = 169,230 × 169,230
  4. Step 4: Simplify right side
    110,976x = 28,638,792,900
  5. Step 5: Solve for x
    x = 28,638,792,900/110,976
  6. Step 6: Final answer
    x = 258,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.