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Finding the Third Proportional to 114,644.25 and 165,131.44

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Solution

The third proportional to 114,644.25 and 165,131.44 is: 237,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,644.25 : 165,131.44 = 165,131.44 : x
  2. Step 2: Convert to fraction form
    114,644.25/165,131.44 = 165,131.44/x
  3. Step 3: Cross multiply
    114,644.25x = 165,131.44 × 165,131.44
  4. Step 4: Simplify right side
    114,644.25x = 27,268,391,650.82
  5. Step 5: Solve for x
    x = 27,268,391,650.82/114,644.25
  6. Step 6: Final answer
    x = 237,852.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.