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Finding the Third Proportional to 47,652 and 110,797

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Solution

The third proportional to 47,652 and 110,797 is: 257,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 110,797 = 110,797 : x
  2. Step 2: Convert to fraction form
    47,652/110,797 = 110,797/x
  3. Step 3: Cross multiply
    47,652x = 110,797 × 110,797
  4. Step 4: Simplify right side
    47,652x = 12,275,975,209
  5. Step 5: Solve for x
    x = 12,275,975,209/47,652
  6. Step 6: Final answer
    x = 257,617.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.