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Finding the Third Proportional to 83,742 and 182,026

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Solution

The third proportional to 83,742 and 182,026 is: 395,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,742 : 182,026 = 182,026 : x
  2. Step 2: Convert to fraction form
    83,742/182,026 = 182,026/x
  3. Step 3: Cross multiply
    83,742x = 182,026 × 182,026
  4. Step 4: Simplify right side
    83,742x = 33,133,464,676
  5. Step 5: Solve for x
    x = 33,133,464,676/83,742
  6. Step 6: Final answer
    x = 395,661.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.