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Finding the Third Proportional to 47,853 and 104,775

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Solution

The third proportional to 47,853 and 104,775 is: 229,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853 : 104,775 = 104,775 : x
  2. Step 2: Convert to fraction form
    47,853/104,775 = 104,775/x
  3. Step 3: Cross multiply
    47,853x = 104,775 × 104,775
  4. Step 4: Simplify right side
    47,853x = 10,977,800,625
  5. Step 5: Solve for x
    x = 10,977,800,625/47,853
  6. Step 6: Final answer
    x = 229,406.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.