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Finding the Third Proportional to 81,504 and 170,460

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Solution

The third proportional to 81,504 and 170,460 is: 356,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,504 : 170,460 = 170,460 : x
  2. Step 2: Convert to fraction form
    81,504/170,460 = 170,460/x
  3. Step 3: Cross multiply
    81,504x = 170,460 × 170,460
  4. Step 4: Simplify right side
    81,504x = 29,056,611,600
  5. Step 5: Solve for x
    x = 29,056,611,600/81,504
  6. Step 6: Final answer
    x = 356,505.34

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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.