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Finding the Third Proportional to 83,082 and 180,186

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Solution

The third proportional to 83,082 and 180,186 is: 390,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082 : 180,186 = 180,186 : x
  2. Step 2: Convert to fraction form
    83,082/180,186 = 180,186/x
  3. Step 3: Cross multiply
    83,082x = 180,186 × 180,186
  4. Step 4: Simplify right side
    83,082x = 32,466,994,596
  5. Step 5: Solve for x
    x = 32,466,994,596/83,082
  6. Step 6: Final answer
    x = 390,782.54

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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.