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Finding the Third Proportional to 84,412 and 180,126

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Solution

The third proportional to 84,412 and 180,126 is: 384,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412 : 180,126 = 180,126 : x
  2. Step 2: Convert to fraction form
    84,412/180,126 = 180,126/x
  3. Step 3: Cross multiply
    84,412x = 180,126 × 180,126
  4. Step 4: Simplify right side
    84,412x = 32,445,375,876
  5. Step 5: Solve for x
    x = 32,445,375,876/84,412
  6. Step 6: Final answer
    x = 384,369.24

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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.