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Finding the Third Proportional to 74,171.25 and 117,924.75

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Solution

The third proportional to 74,171.25 and 117,924.75 is: 187,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,171.25 : 117,924.75 = 117,924.75 : x
  2. Step 2: Convert to fraction form
    74,171.25/117,924.75 = 117,924.75/x
  3. Step 3: Cross multiply
    74,171.25x = 117,924.75 × 117,924.75
  4. Step 4: Simplify right side
    74,171.25x = 13,906,246,662.56
  5. Step 5: Solve for x
    x = 13,906,246,662.56/74,171.25
  6. Step 6: Final answer
    x = 187,488.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.