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Finding the Third Proportional to 81,136.50 and 174,756

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Solution

The third proportional to 81,136.50 and 174,756 is: 376,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,136.50 : 174,756 = 174,756 : x
  2. Step 2: Convert to fraction form
    81,136.50/174,756 = 174,756/x
  3. Step 3: Cross multiply
    81,136.50x = 174,756 × 174,756
  4. Step 4: Simplify right side
    81,136.50x = 30,539,659,536
  5. Step 5: Solve for x
    x = 30,539,659,536/81,136.50
  6. Step 6: Final answer
    x = 376,398.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.