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Finding the Third Proportional to 47,192 and 68,840

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Solution

The third proportional to 47,192 and 68,840 is: 100,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,192 : 68,840 = 68,840 : x
  2. Step 2: Convert to fraction form
    47,192/68,840 = 68,840/x
  3. Step 3: Cross multiply
    47,192x = 68,840 × 68,840
  4. Step 4: Simplify right side
    47,192x = 4,738,945,600
  5. Step 5: Solve for x
    x = 4,738,945,600/47,192
  6. Step 6: Final answer
    x = 100,418.41

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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.