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Finding the Third Proportional to 85,079 and 181,633

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Solution

The third proportional to 85,079 and 181,633 is: 387,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,079 : 181,633 = 181,633 : x
  2. Step 2: Convert to fraction form
    85,079/181,633 = 181,633/x
  3. Step 3: Cross multiply
    85,079x = 181,633 × 181,633
  4. Step 4: Simplify right side
    85,079x = 32,990,546,689
  5. Step 5: Solve for x
    x = 32,990,546,689/85,079
  6. Step 6: Final answer
    x = 387,763.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.