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Finding the Third Proportional to 83,650 and 171,376

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Solution

The third proportional to 83,650 and 171,376 is: 351,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,650 : 171,376 = 171,376 : x
  2. Step 2: Convert to fraction form
    83,650/171,376 = 171,376/x
  3. Step 3: Cross multiply
    83,650x = 171,376 × 171,376
  4. Step 4: Simplify right side
    83,650x = 29,369,733,376
  5. Step 5: Solve for x
    x = 29,369,733,376/83,650
  6. Step 6: Final answer
    x = 351,102.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.