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Finding the Third Proportional to 117,190.69 and 165,932.44

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Solution

The third proportional to 117,190.69 and 165,932.44 is: 234,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190.69 : 165,932.44 = 165,932.44 : x
  2. Step 2: Convert to fraction form
    117,190.69/165,932.44 = 165,932.44/x
  3. Step 3: Cross multiply
    117,190.69x = 165,932.44 × 165,932.44
  4. Step 4: Simplify right side
    117,190.69x = 27,533,573,814.69
  5. Step 5: Solve for x
    x = 27,533,573,814.69/117,190.69
  6. Step 6: Final answer
    x = 234,946.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.