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Finding the Third Proportional to 108,137 and 237,325

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Solution

The third proportional to 108,137 and 237,325 is: 520,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,137 : 237,325 = 237,325 : x
  2. Step 2: Convert to fraction form
    108,137/237,325 = 237,325/x
  3. Step 3: Cross multiply
    108,137x = 237,325 × 237,325
  4. Step 4: Simplify right side
    108,137x = 56,323,155,625
  5. Step 5: Solve for x
    x = 56,323,155,625/108,137
  6. Step 6: Final answer
    x = 520,849.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.