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Finding the Third Proportional to 73,878.75 and 156,984.75

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Solution

The third proportional to 73,878.75 and 156,984.75 is: 333,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.75 : 156,984.75 = 156,984.75 : x
  2. Step 2: Convert to fraction form
    73,878.75/156,984.75 = 156,984.75/x
  3. Step 3: Cross multiply
    73,878.75x = 156,984.75 × 156,984.75
  4. Step 4: Simplify right side
    73,878.75x = 24,644,211,732.56
  5. Step 5: Solve for x
    x = 24,644,211,732.56/73,878.75
  6. Step 6: Final answer
    x = 333,576.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.