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Finding the Third Proportional to 47,285 and 71,910

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Solution

The third proportional to 47,285 and 71,910 is: 109,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,285 : 71,910 = 71,910 : x
  2. Step 2: Convert to fraction form
    47,285/71,910 = 71,910/x
  3. Step 3: Cross multiply
    47,285x = 71,910 × 71,910
  4. Step 4: Simplify right side
    47,285x = 5,171,048,100
  5. Step 5: Solve for x
    x = 5,171,048,100/47,285
  6. Step 6: Final answer
    x = 109,359.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.