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Finding the Third Proportional to 117,009 and 181,093

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Solution

The third proportional to 117,009 and 181,093 is: 280,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 181,093 = 181,093 : x
  2. Step 2: Convert to fraction form
    117,009/181,093 = 181,093/x
  3. Step 3: Cross multiply
    117,009x = 181,093 × 181,093
  4. Step 4: Simplify right side
    117,009x = 32,794,674,649
  5. Step 5: Solve for x
    x = 32,794,674,649/117,009
  6. Step 6: Final answer
    x = 280,274.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.