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Finding the Third Proportional to 47,236 and 95,840

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Solution

The third proportional to 47,236 and 95,840 is: 194,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,236 : 95,840 = 95,840 : x
  2. Step 2: Convert to fraction form
    47,236/95,840 = 95,840/x
  3. Step 3: Cross multiply
    47,236x = 95,840 × 95,840
  4. Step 4: Simplify right side
    47,236x = 9,185,305,600
  5. Step 5: Solve for x
    x = 9,185,305,600/47,236
  6. Step 6: Final answer
    x = 194,455.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.