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Finding the Third Proportional to 47,609 and 103,669

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Solution

The third proportional to 47,609 and 103,669 is: 225,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,609 : 103,669 = 103,669 : x
  2. Step 2: Convert to fraction form
    47,609/103,669 = 103,669/x
  3. Step 3: Cross multiply
    47,609x = 103,669 × 103,669
  4. Step 4: Simplify right side
    47,609x = 10,747,261,561
  5. Step 5: Solve for x
    x = 10,747,261,561/47,609
  6. Step 6: Final answer
    x = 225,740.12

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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.