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Finding the Third Proportional to 82,051 and 169,794

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Solution

The third proportional to 82,051 and 169,794 is: 351,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051 : 169,794 = 169,794 : x
  2. Step 2: Convert to fraction form
    82,051/169,794 = 169,794/x
  3. Step 3: Cross multiply
    82,051x = 169,794 × 169,794
  4. Step 4: Simplify right side
    82,051x = 28,830,002,436
  5. Step 5: Solve for x
    x = 28,830,002,436/82,051
  6. Step 6: Final answer
    x = 351,366.86

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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.