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Finding the Third Proportional to 47,652 and 104,520

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Solution

The third proportional to 47,652 and 104,520 is: 229,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 104,520 = 104,520 : x
  2. Step 2: Convert to fraction form
    47,652/104,520 = 104,520/x
  3. Step 3: Cross multiply
    47,652x = 104,520 × 104,520
  4. Step 4: Simplify right side
    47,652x = 10,924,430,400
  5. Step 5: Solve for x
    x = 10,924,430,400/47,652
  6. Step 6: Final answer
    x = 229,254.39

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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.