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Finding the Third Proportional to 108,950 and 171,201

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Solution

The third proportional to 108,950 and 171,201 is: 269,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,950 : 171,201 = 171,201 : x
  2. Step 2: Convert to fraction form
    108,950/171,201 = 171,201/x
  3. Step 3: Cross multiply
    108,950x = 171,201 × 171,201
  4. Step 4: Simplify right side
    108,950x = 29,309,782,401
  5. Step 5: Solve for x
    x = 29,309,782,401/108,950
  6. Step 6: Final answer
    x = 269,020.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.