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Finding the Third Proportional to 80,030 and 171,400

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Solution

The third proportional to 80,030 and 171,400 is: 367,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,030 : 171,400 = 171,400 : x
  2. Step 2: Convert to fraction form
    80,030/171,400 = 171,400/x
  3. Step 3: Cross multiply
    80,030x = 171,400 × 171,400
  4. Step 4: Simplify right side
    80,030x = 29,377,960,000
  5. Step 5: Solve for x
    x = 29,377,960,000/80,030
  6. Step 6: Final answer
    x = 367,086.84

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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.