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Finding the Third Proportional to 41,725.13 and 86,204.25

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Solution

The third proportional to 41,725.13 and 86,204.25 is: 178,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,725.13 : 86,204.25 = 86,204.25 : x
  2. Step 2: Convert to fraction form
    41,725.13/86,204.25 = 86,204.25/x
  3. Step 3: Cross multiply
    41,725.13x = 86,204.25 × 86,204.25
  4. Step 4: Simplify right side
    41,725.13x = 7,431,172,718.06
  5. Step 5: Solve for x
    x = 7,431,172,718.06/41,725.13
  6. Step 6: Final answer
    x = 178,098.27

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.