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Finding the Third Proportional to 47,225 and 103,765

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Solution

The third proportional to 47,225 and 103,765 is: 227,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,225 : 103,765 = 103,765 : x
  2. Step 2: Convert to fraction form
    47,225/103,765 = 103,765/x
  3. Step 3: Cross multiply
    47,225x = 103,765 × 103,765
  4. Step 4: Simplify right side
    47,225x = 10,767,175,225
  5. Step 5: Solve for x
    x = 10,767,175,225/47,225
  6. Step 6: Final answer
    x = 227,997.36

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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.