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Finding the Third Proportional to 37,466 and 80,246

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Solution

The third proportional to 37,466 and 80,246 is: 171,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,466 : 80,246 = 80,246 : x
  2. Step 2: Convert to fraction form
    37,466/80,246 = 80,246/x
  3. Step 3: Cross multiply
    37,466x = 80,246 × 80,246
  4. Step 4: Simplify right side
    37,466x = 6,439,420,516
  5. Step 5: Solve for x
    x = 6,439,420,516/37,466
  6. Step 6: Final answer
    x = 171,873.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.