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Finding the Third Proportional to 47,188 and 68,835

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Solution

The third proportional to 47,188 and 68,835 is: 100,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,188 : 68,835 = 68,835 : x
  2. Step 2: Convert to fraction form
    47,188/68,835 = 68,835/x
  3. Step 3: Cross multiply
    47,188x = 68,835 × 68,835
  4. Step 4: Simplify right side
    47,188x = 4,738,257,225
  5. Step 5: Solve for x
    x = 4,738,257,225/47,188
  6. Step 6: Final answer
    x = 100,412.33

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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.