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Finding the Third Proportional to 47,311 and 71,165

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Solution

The third proportional to 47,311 and 71,165 is: 107,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311 : 71,165 = 71,165 : x
  2. Step 2: Convert to fraction form
    47,311/71,165 = 71,165/x
  3. Step 3: Cross multiply
    47,311x = 71,165 × 71,165
  4. Step 4: Simplify right side
    47,311x = 5,064,457,225
  5. Step 5: Solve for x
    x = 5,064,457,225/47,311
  6. Step 6: Final answer
    x = 107,046.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.