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Finding the Third Proportional to 79,032 and 172,266

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Solution

The third proportional to 79,032 and 172,266 is: 375,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,032 : 172,266 = 172,266 : x
  2. Step 2: Convert to fraction form
    79,032/172,266 = 172,266/x
  3. Step 3: Cross multiply
    79,032x = 172,266 × 172,266
  4. Step 4: Simplify right side
    79,032x = 29,675,574,756
  5. Step 5: Solve for x
    x = 29,675,574,756/79,032
  6. Step 6: Final answer
    x = 375,488.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.