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Finding the Third Proportional to 117,190.50 and 165,933

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Solution

The third proportional to 117,190.50 and 165,933 is: 234,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190.50 : 165,933 = 165,933 : x
  2. Step 2: Convert to fraction form
    117,190.50/165,933 = 165,933/x
  3. Step 3: Cross multiply
    117,190.50x = 165,933 × 165,933
  4. Step 4: Simplify right side
    117,190.50x = 27,533,760,489
  5. Step 5: Solve for x
    x = 27,533,760,489/117,190.50
  6. Step 6: Final answer
    x = 234,948.74

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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.