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Finding the Third Proportional to 74,175.75 and 86,204.25

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Solution

The third proportional to 74,175.75 and 86,204.25 is: 100,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175.75 : 86,204.25 = 86,204.25 : x
  2. Step 2: Convert to fraction form
    74,175.75/86,204.25 = 86,204.25/x
  3. Step 3: Cross multiply
    74,175.75x = 86,204.25 × 86,204.25
  4. Step 4: Simplify right side
    74,175.75x = 7,431,172,718.06
  5. Step 5: Solve for x
    x = 7,431,172,718.06/74,175.75
  6. Step 6: Final answer
    x = 100,183.32

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.