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Finding the Third Proportional to 85,286 and 176,044

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Solution

The third proportional to 85,286 and 176,044 is: 363,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286 : 176,044 = 176,044 : x
  2. Step 2: Convert to fraction form
    85,286/176,044 = 176,044/x
  3. Step 3: Cross multiply
    85,286x = 176,044 × 176,044
  4. Step 4: Simplify right side
    85,286x = 30,991,489,936
  5. Step 5: Solve for x
    x = 30,991,489,936/85,286
  6. Step 6: Final answer
    x = 363,383.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.