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Finding the Third Proportional to 102,836.25 and 156,238.50

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Solution

The third proportional to 102,836.25 and 156,238.50 is: 237,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,836.25 : 156,238.50 = 156,238.50 : x
  2. Step 2: Convert to fraction form
    102,836.25/156,238.50 = 156,238.50/x
  3. Step 3: Cross multiply
    102,836.25x = 156,238.50 × 156,238.50
  4. Step 4: Simplify right side
    102,836.25x = 24,410,468,882.25
  5. Step 5: Solve for x
    x = 24,410,468,882.25/102,836.25
  6. Step 6: Final answer
    x = 237,372.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.