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Finding the Third Proportional to 47,126 and 103,324

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Solution

The third proportional to 47,126 and 103,324 is: 226,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,126 : 103,324 = 103,324 : x
  2. Step 2: Convert to fraction form
    47,126/103,324 = 103,324/x
  3. Step 3: Cross multiply
    47,126x = 103,324 × 103,324
  4. Step 4: Simplify right side
    47,126x = 10,675,848,976
  5. Step 5: Solve for x
    x = 10,675,848,976/47,126
  6. Step 6: Final answer
    x = 226,538.41

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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.