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Finding the Third Proportional to 110,921 and 181,104

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Solution

The third proportional to 110,921 and 181,104 is: 295,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,921 : 181,104 = 181,104 : x
  2. Step 2: Convert to fraction form
    110,921/181,104 = 181,104/x
  3. Step 3: Cross multiply
    110,921x = 181,104 × 181,104
  4. Step 4: Simplify right side
    110,921x = 32,798,658,816
  5. Step 5: Solve for x
    x = 32,798,658,816/110,921
  6. Step 6: Final answer
    x = 295,693.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.