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Finding the Third Proportional to 102,150 and 237,375

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Solution

The third proportional to 102,150 and 237,375 is: 551,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,150 : 237,375 = 237,375 : x
  2. Step 2: Convert to fraction form
    102,150/237,375 = 237,375/x
  3. Step 3: Cross multiply
    102,150x = 237,375 × 237,375
  4. Step 4: Simplify right side
    102,150x = 56,346,890,625
  5. Step 5: Solve for x
    x = 56,346,890,625/102,150
  6. Step 6: Final answer
    x = 551,609.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.