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Finding the Third Proportional to 81,502 and 170,456

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Solution

The third proportional to 81,502 and 170,456 is: 356,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502 : 170,456 = 170,456 : x
  2. Step 2: Convert to fraction form
    81,502/170,456 = 170,456/x
  3. Step 3: Cross multiply
    81,502x = 170,456 × 170,456
  4. Step 4: Simplify right side
    81,502x = 29,055,247,936
  5. Step 5: Solve for x
    x = 29,055,247,936/81,502
  6. Step 6: Final answer
    x = 356,497.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.