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Finding the Third Proportional to 86,576 and 180,079

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Solution

The third proportional to 86,576 and 180,079 is: 374,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,576 : 180,079 = 180,079 : x
  2. Step 2: Convert to fraction form
    86,576/180,079 = 180,079/x
  3. Step 3: Cross multiply
    86,576x = 180,079 × 180,079
  4. Step 4: Simplify right side
    86,576x = 32,428,446,241
  5. Step 5: Solve for x
    x = 32,428,446,241/86,576
  6. Step 6: Final answer
    x = 374,566.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.