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Finding the Third Proportional to 110,802 and 182,037

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Solution

The third proportional to 110,802 and 182,037 is: 299,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,802 : 182,037 = 182,037 : x
  2. Step 2: Convert to fraction form
    110,802/182,037 = 182,037/x
  3. Step 3: Cross multiply
    110,802x = 182,037 × 182,037
  4. Step 4: Simplify right side
    110,802x = 33,137,469,369
  5. Step 5: Solve for x
    x = 33,137,469,369/110,802
  6. Step 6: Final answer
    x = 299,069.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.