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Finding the Third Proportional to 83,700 and 173,193

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Solution

The third proportional to 83,700 and 173,193 is: 358,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700 : 173,193 = 173,193 : x
  2. Step 2: Convert to fraction form
    83,700/173,193 = 173,193/x
  3. Step 3: Cross multiply
    83,700x = 173,193 × 173,193
  4. Step 4: Simplify right side
    83,700x = 29,995,815,249
  5. Step 5: Solve for x
    x = 29,995,815,249/83,700
  6. Step 6: Final answer
    x = 358,372.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.