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Finding the Third Proportional to 47,414 and 103,576

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Solution

The third proportional to 47,414 and 103,576 is: 226,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,414 : 103,576 = 103,576 : x
  2. Step 2: Convert to fraction form
    47,414/103,576 = 103,576/x
  3. Step 3: Cross multiply
    47,414x = 103,576 × 103,576
  4. Step 4: Simplify right side
    47,414x = 10,727,987,776
  5. Step 5: Solve for x
    x = 10,727,987,776/47,414
  6. Step 6: Final answer
    x = 226,262.03

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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.