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Finding the Third Proportional to 83,085 and 180,192

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Solution

The third proportional to 83,085 and 180,192 is: 390,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085 : 180,192 = 180,192 : x
  2. Step 2: Convert to fraction form
    83,085/180,192 = 180,192/x
  3. Step 3: Cross multiply
    83,085x = 180,192 × 180,192
  4. Step 4: Simplify right side
    83,085x = 32,469,156,864
  5. Step 5: Solve for x
    x = 32,469,156,864/83,085
  6. Step 6: Final answer
    x = 390,794.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.