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Finding the Third Proportional to 80,076 and 165,768

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Solution

The third proportional to 80,076 and 165,768 is: 343,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,076 : 165,768 = 165,768 : x
  2. Step 2: Convert to fraction form
    80,076/165,768 = 165,768/x
  3. Step 3: Cross multiply
    80,076x = 165,768 × 165,768
  4. Step 4: Simplify right side
    80,076x = 27,479,029,824
  5. Step 5: Solve for x
    x = 27,479,029,824/80,076
  6. Step 6: Final answer
    x = 343,161.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.