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Finding the Third Proportional to 83,776.50 and 131,136.75

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Solution

The third proportional to 83,776.50 and 131,136.75 is: 205,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776.50 : 131,136.75 = 131,136.75 : x
  2. Step 2: Convert to fraction form
    83,776.50/131,136.75 = 131,136.75/x
  3. Step 3: Cross multiply
    83,776.50x = 131,136.75 × 131,136.75
  4. Step 4: Simplify right side
    83,776.50x = 17,196,847,200.56
  5. Step 5: Solve for x
    x = 17,196,847,200.56/83,776.50
  6. Step 6: Final answer
    x = 205,270.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.