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Finding the Third Proportional to 85,089 and 182,814

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Solution

The third proportional to 85,089 and 182,814 is: 392,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,089 : 182,814 = 182,814 : x
  2. Step 2: Convert to fraction form
    85,089/182,814 = 182,814/x
  3. Step 3: Cross multiply
    85,089x = 182,814 × 182,814
  4. Step 4: Simplify right side
    85,089x = 33,420,958,596
  5. Step 5: Solve for x
    x = 33,420,958,596/85,089
  6. Step 6: Final answer
    x = 392,776.49

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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.