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Finding the Third Proportional to 80,048 and 171,432

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Solution

The third proportional to 80,048 and 171,432 is: 367,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,048 : 171,432 = 171,432 : x
  2. Step 2: Convert to fraction form
    80,048/171,432 = 171,432/x
  3. Step 3: Cross multiply
    80,048x = 171,432 × 171,432
  4. Step 4: Simplify right side
    80,048x = 29,388,930,624
  5. Step 5: Solve for x
    x = 29,388,930,624/80,048
  6. Step 6: Final answer
    x = 367,141.35

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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.