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Finding the Third Proportional to 110,468 and 168,912

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Solution

The third proportional to 110,468 and 168,912 is: 258,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,468 : 168,912 = 168,912 : x
  2. Step 2: Convert to fraction form
    110,468/168,912 = 168,912/x
  3. Step 3: Cross multiply
    110,468x = 168,912 × 168,912
  4. Step 4: Simplify right side
    110,468x = 28,531,263,744
  5. Step 5: Solve for x
    x = 28,531,263,744/110,468
  6. Step 6: Final answer
    x = 258,276.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.