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Finding the Third Proportional to 102,837.75 and 156,240.75

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Solution

The third proportional to 102,837.75 and 156,240.75 is: 237,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,837.75 : 156,240.75 = 156,240.75 : x
  2. Step 2: Convert to fraction form
    102,837.75/156,240.75 = 156,240.75/x
  3. Step 3: Cross multiply
    102,837.75x = 156,240.75 × 156,240.75
  4. Step 4: Simplify right side
    102,837.75x = 24,411,171,960.56
  5. Step 5: Solve for x
    x = 24,411,171,960.56/102,837.75
  6. Step 6: Final answer
    x = 237,375.59

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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.