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Finding the Third Proportional to 47,761 and 104,270

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Solution

The third proportional to 47,761 and 104,270 is: 227,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,761 : 104,270 = 104,270 : x
  2. Step 2: Convert to fraction form
    47,761/104,270 = 104,270/x
  3. Step 3: Cross multiply
    47,761x = 104,270 × 104,270
  4. Step 4: Simplify right side
    47,761x = 10,872,232,900
  5. Step 5: Solve for x
    x = 10,872,232,900/47,761
  6. Step 6: Final answer
    x = 227,638.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.