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Finding the Third Proportional to 84,129.50 and 179,932

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Solution

The third proportional to 84,129.50 and 179,932 is: 384,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129.50 : 179,932 = 179,932 : x
  2. Step 2: Convert to fraction form
    84,129.50/179,932 = 179,932/x
  3. Step 3: Cross multiply
    84,129.50x = 179,932 × 179,932
  4. Step 4: Simplify right side
    84,129.50x = 32,375,524,624
  5. Step 5: Solve for x
    x = 32,375,524,624/84,129.50
  6. Step 6: Final answer
    x = 384,829.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.