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Finding the Third Proportional to 84,037 and 180,816

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Solution

The third proportional to 84,037 and 180,816 is: 389,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,037 : 180,816 = 180,816 : x
  2. Step 2: Convert to fraction form
    84,037/180,816 = 180,816/x
  3. Step 3: Cross multiply
    84,037x = 180,816 × 180,816
  4. Step 4: Simplify right side
    84,037x = 32,694,425,856
  5. Step 5: Solve for x
    x = 32,694,425,856/84,037
  6. Step 6: Final answer
    x = 389,047.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.