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Finding the Third Proportional to 47,296 and 103,472

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Solution

The third proportional to 47,296 and 103,472 is: 226,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,296 : 103,472 = 103,472 : x
  2. Step 2: Convert to fraction form
    47,296/103,472 = 103,472/x
  3. Step 3: Cross multiply
    47,296x = 103,472 × 103,472
  4. Step 4: Simplify right side
    47,296x = 10,706,454,784
  5. Step 5: Solve for x
    x = 10,706,454,784/47,296
  6. Step 6: Final answer
    x = 226,371.25

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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.