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Finding the Third Proportional to 41,681.25 and 86,136.75

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Solution

The third proportional to 41,681.25 and 86,136.75 is: 178,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,681.25 : 86,136.75 = 86,136.75 : x
  2. Step 2: Convert to fraction form
    41,681.25/86,136.75 = 86,136.75/x
  3. Step 3: Cross multiply
    41,681.25x = 86,136.75 × 86,136.75
  4. Step 4: Simplify right side
    41,681.25x = 7,419,539,700.56
  5. Step 5: Solve for x
    x = 7,419,539,700.56/41,681.25
  6. Step 6: Final answer
    x = 178,006.65

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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.