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Finding the Third Proportional to 118,685.25 and 158,542.31

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Solution

The third proportional to 118,685.25 and 158,542.31 is: 211,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,685.25 : 158,542.31 = 158,542.31 : x
  2. Step 2: Convert to fraction form
    118,685.25/158,542.31 = 158,542.31/x
  3. Step 3: Cross multiply
    118,685.25x = 158,542.31 × 158,542.31
  4. Step 4: Simplify right side
    118,685.25x = 25,135,664,852.85
  5. Step 5: Solve for x
    x = 25,135,664,852.85/118,685.25
  6. Step 6: Final answer
    x = 211,784.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.