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Finding the Third Proportional to 38,184 and 82,246

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Solution

The third proportional to 38,184 and 82,246 is: 177,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 82,246 = 82,246 : x
  2. Step 2: Convert to fraction form
    38,184/82,246 = 82,246/x
  3. Step 3: Cross multiply
    38,184x = 82,246 × 82,246
  4. Step 4: Simplify right side
    38,184x = 6,764,404,516
  5. Step 5: Solve for x
    x = 6,764,404,516/38,184
  6. Step 6: Final answer
    x = 177,152.85

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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.