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Finding the Third Proportional to 80,693 and 172,504

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Solution

The third proportional to 80,693 and 172,504 is: 368,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,693 : 172,504 = 172,504 : x
  2. Step 2: Convert to fraction form
    80,693/172,504 = 172,504/x
  3. Step 3: Cross multiply
    80,693x = 172,504 × 172,504
  4. Step 4: Simplify right side
    80,693x = 29,757,630,016
  5. Step 5: Solve for x
    x = 29,757,630,016/80,693
  6. Step 6: Final answer
    x = 368,775.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.