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Finding the Third Proportional to 85,174 and 187,628

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Solution

The third proportional to 85,174 and 187,628 is: 413,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174 : 187,628 = 187,628 : x
  2. Step 2: Convert to fraction form
    85,174/187,628 = 187,628/x
  3. Step 3: Cross multiply
    85,174x = 187,628 × 187,628
  4. Step 4: Simplify right side
    85,174x = 35,204,266,384
  5. Step 5: Solve for x
    x = 35,204,266,384/85,174
  6. Step 6: Final answer
    x = 413,321.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.