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Finding the Third Proportional to 110,949 and 180,259

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Solution

The third proportional to 110,949 and 180,259 is: 292,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,949 : 180,259 = 180,259 : x
  2. Step 2: Convert to fraction form
    110,949/180,259 = 180,259/x
  3. Step 3: Cross multiply
    110,949x = 180,259 × 180,259
  4. Step 4: Simplify right side
    110,949x = 32,493,307,081
  5. Step 5: Solve for x
    x = 32,493,307,081/110,949
  6. Step 6: Final answer
    x = 292,867.06

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.