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Finding the Third Proportional to 47,349 and 103,606

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Solution

The third proportional to 47,349 and 103,606 is: 226,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349 : 103,606 = 103,606 : x
  2. Step 2: Convert to fraction form
    47,349/103,606 = 103,606/x
  3. Step 3: Cross multiply
    47,349x = 103,606 × 103,606
  4. Step 4: Simplify right side
    47,349x = 10,734,203,236
  5. Step 5: Solve for x
    x = 10,734,203,236/47,349
  6. Step 6: Final answer
    x = 226,703.91

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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.