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Finding the Third Proportional to 47,831 and 101,130

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Solution

The third proportional to 47,831 and 101,130 is: 213,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,831 : 101,130 = 101,130 : x
  2. Step 2: Convert to fraction form
    47,831/101,130 = 101,130/x
  3. Step 3: Cross multiply
    47,831x = 101,130 × 101,130
  4. Step 4: Simplify right side
    47,831x = 10,227,276,900
  5. Step 5: Solve for x
    x = 10,227,276,900/47,831
  6. Step 6: Final answer
    x = 213,821.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.