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Finding the Third Proportional to 102,227.63 and 156,912.75

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Solution

The third proportional to 102,227.63 and 156,912.75 is: 240,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.63 : 156,912.75 = 156,912.75 : x
  2. Step 2: Convert to fraction form
    102,227.63/156,912.75 = 156,912.75/x
  3. Step 3: Cross multiply
    102,227.63x = 156,912.75 × 156,912.75
  4. Step 4: Simplify right side
    102,227.63x = 24,621,611,112.56
  5. Step 5: Solve for x
    x = 24,621,611,112.56/102,227.63
  6. Step 6: Final answer
    x = 240,850.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.