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Finding the Third Proportional to 34,056.50 and 81,817.50

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Solution

The third proportional to 34,056.50 and 81,817.50 is: 196,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,056.50 : 81,817.50 = 81,817.50 : x
  2. Step 2: Convert to fraction form
    34,056.50/81,817.50 = 81,817.50/x
  3. Step 3: Cross multiply
    34,056.50x = 81,817.50 × 81,817.50
  4. Step 4: Simplify right side
    34,056.50x = 6,694,103,306.25
  5. Step 5: Solve for x
    x = 6,694,103,306.25/34,056.50
  6. Step 6: Final answer
    x = 196,558.76

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.