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Finding the Third Proportional to 47,646 and 104,733

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Solution

The third proportional to 47,646 and 104,733 is: 230,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646 : 104,733 = 104,733 : x
  2. Step 2: Convert to fraction form
    47,646/104,733 = 104,733/x
  3. Step 3: Cross multiply
    47,646x = 104,733 × 104,733
  4. Step 4: Simplify right side
    47,646x = 10,969,001,289
  5. Step 5: Solve for x
    x = 10,969,001,289/47,646
  6. Step 6: Final answer
    x = 230,218.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.