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Finding the Third Proportional to 73,682 and 160,858

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Solution

The third proportional to 73,682 and 160,858 is: 351,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682 : 160,858 = 160,858 : x
  2. Step 2: Convert to fraction form
    73,682/160,858 = 160,858/x
  3. Step 3: Cross multiply
    73,682x = 160,858 × 160,858
  4. Step 4: Simplify right side
    73,682x = 25,875,296,164
  5. Step 5: Solve for x
    x = 25,875,296,164/73,682
  6. Step 6: Final answer
    x = 351,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.