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Finding the Third Proportional to 43,272 and 63,204

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Solution

The third proportional to 43,272 and 63,204 is: 92,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,272 : 63,204 = 63,204 : x
  2. Step 2: Convert to fraction form
    43,272/63,204 = 63,204/x
  3. Step 3: Cross multiply
    43,272x = 63,204 × 63,204
  4. Step 4: Simplify right side
    43,272x = 3,994,745,616
  5. Step 5: Solve for x
    x = 3,994,745,616/43,272
  6. Step 6: Final answer
    x = 92,317.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.