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Finding the Third Proportional to 109,824 and 167,104

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Solution

The third proportional to 109,824 and 167,104 is: 254,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,824 : 167,104 = 167,104 : x
  2. Step 2: Convert to fraction form
    109,824/167,104 = 167,104/x
  3. Step 3: Cross multiply
    109,824x = 167,104 × 167,104
  4. Step 4: Simplify right side
    109,824x = 27,923,746,816
  5. Step 5: Solve for x
    x = 27,923,746,816/109,824
  6. Step 6: Final answer
    x = 254,259.06

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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.