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Finding the Third Proportional to 82,500.75 and 180,762.75

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Solution

The third proportional to 82,500.75 and 180,762.75 is: 396,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500.75 : 180,762.75 = 180,762.75 : x
  2. Step 2: Convert to fraction form
    82,500.75/180,762.75 = 180,762.75/x
  3. Step 3: Cross multiply
    82,500.75x = 180,762.75 × 180,762.75
  4. Step 4: Simplify right side
    82,500.75x = 32,675,171,787.56
  5. Step 5: Solve for x
    x = 32,675,171,787.56/82,500.75
  6. Step 6: Final answer
    x = 396,059.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.