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Finding the Third Proportional to 36,136.13 and 68,586.75

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Solution

The third proportional to 36,136.13 and 68,586.75 is: 130,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,136.13 : 68,586.75 = 68,586.75 : x
  2. Step 2: Convert to fraction form
    36,136.13/68,586.75 = 68,586.75/x
  3. Step 3: Cross multiply
    36,136.13x = 68,586.75 × 68,586.75
  4. Step 4: Simplify right side
    36,136.13x = 4,704,142,275.56
  5. Step 5: Solve for x
    x = 4,704,142,275.56/36,136.13
  6. Step 6: Final answer
    x = 130,178.38

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.