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Finding the Third Proportional to 110,104 and 175,008

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Solution

The third proportional to 110,104 and 175,008 is: 278,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,104 : 175,008 = 175,008 : x
  2. Step 2: Convert to fraction form
    110,104/175,008 = 175,008/x
  3. Step 3: Cross multiply
    110,104x = 175,008 × 175,008
  4. Step 4: Simplify right side
    110,104x = 30,627,800,064
  5. Step 5: Solve for x
    x = 30,627,800,064/110,104
  6. Step 6: Final answer
    x = 278,171.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.