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Finding the Third Proportional to 80,310 and 171,732

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Solution

The third proportional to 80,310 and 171,732 is: 367,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,310 : 171,732 = 171,732 : x
  2. Step 2: Convert to fraction form
    80,310/171,732 = 171,732/x
  3. Step 3: Cross multiply
    80,310x = 171,732 × 171,732
  4. Step 4: Simplify right side
    80,310x = 29,491,879,824
  5. Step 5: Solve for x
    x = 29,491,879,824/80,310
  6. Step 6: Final answer
    x = 367,225.50

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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.