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Finding the Third Proportional to 80,032 and 172,172

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Solution

The third proportional to 80,032 and 172,172 is: 370,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032 : 172,172 = 172,172 : x
  2. Step 2: Convert to fraction form
    80,032/172,172 = 172,172/x
  3. Step 3: Cross multiply
    80,032x = 172,172 × 172,172
  4. Step 4: Simplify right side
    80,032x = 29,643,197,584
  5. Step 5: Solve for x
    x = 29,643,197,584/80,032
  6. Step 6: Final answer
    x = 370,391.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.