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Finding the Third Proportional to 41,708.25 and 86,871.75

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Solution

The third proportional to 41,708.25 and 86,871.75 is: 180,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,708.25 : 86,871.75 = 86,871.75 : x
  2. Step 2: Convert to fraction form
    41,708.25/86,871.75 = 86,871.75/x
  3. Step 3: Cross multiply
    41,708.25x = 86,871.75 × 86,871.75
  4. Step 4: Simplify right side
    41,708.25x = 7,546,700,948.06
  5. Step 5: Solve for x
    x = 7,546,700,948.06/41,708.25
  6. Step 6: Final answer
    x = 180,940.24

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.