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Finding the Third Proportional to 72,660 and 162,327

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Solution

The third proportional to 72,660 and 162,327 is: 362,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,660 : 162,327 = 162,327 : x
  2. Step 2: Convert to fraction form
    72,660/162,327 = 162,327/x
  3. Step 3: Cross multiply
    72,660x = 162,327 × 162,327
  4. Step 4: Simplify right side
    72,660x = 26,350,054,929
  5. Step 5: Solve for x
    x = 26,350,054,929/72,660
  6. Step 6: Final answer
    x = 362,648.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.