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Finding the Third Proportional to 47,476 and 101,086

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Solution

The third proportional to 47,476 and 101,086 is: 215,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476 : 101,086 = 101,086 : x
  2. Step 2: Convert to fraction form
    47,476/101,086 = 101,086/x
  3. Step 3: Cross multiply
    47,476x = 101,086 × 101,086
  4. Step 4: Simplify right side
    47,476x = 10,218,379,396
  5. Step 5: Solve for x
    x = 10,218,379,396/47,476
  6. Step 6: Final answer
    x = 215,232.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.