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Finding the Third Proportional to 102,270 and 156,975

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Solution

The third proportional to 102,270 and 156,975 is: 240,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,270 : 156,975 = 156,975 : x
  2. Step 2: Convert to fraction form
    102,270/156,975 = 156,975/x
  3. Step 3: Cross multiply
    102,270x = 156,975 × 156,975
  4. Step 4: Simplify right side
    102,270x = 24,641,150,625
  5. Step 5: Solve for x
    x = 24,641,150,625/102,270
  6. Step 6: Final answer
    x = 240,942.12

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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.