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Finding the Third Proportional to 47,320 and 68,172

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Solution

The third proportional to 47,320 and 68,172 is: 98,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,320 : 68,172 = 68,172 : x
  2. Step 2: Convert to fraction form
    47,320/68,172 = 68,172/x
  3. Step 3: Cross multiply
    47,320x = 68,172 × 68,172
  4. Step 4: Simplify right side
    47,320x = 4,647,421,584
  5. Step 5: Solve for x
    x = 4,647,421,584/47,320
  6. Step 6: Final answer
    x = 98,212.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.