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Finding the Third Proportional to 57,323.25 and 117,197.44

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Solution

The third proportional to 57,323.25 and 117,197.44 is: 239,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,323.25 : 117,197.44 = 117,197.44 : x
  2. Step 2: Convert to fraction form
    57,323.25/117,197.44 = 117,197.44/x
  3. Step 3: Cross multiply
    57,323.25x = 117,197.44 × 117,197.44
  4. Step 4: Simplify right side
    57,323.25x = 13,735,239,356.57
  5. Step 5: Solve for x
    x = 13,735,239,356.57/57,323.25
  6. Step 6: Final answer
    x = 239,610.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.