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Finding the Third Proportional to 47,623 and 104,646

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Solution

The third proportional to 47,623 and 104,646 is: 229,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,623 : 104,646 = 104,646 : x
  2. Step 2: Convert to fraction form
    47,623/104,646 = 104,646/x
  3. Step 3: Cross multiply
    47,623x = 104,646 × 104,646
  4. Step 4: Simplify right side
    47,623x = 10,950,785,316
  5. Step 5: Solve for x
    x = 10,950,785,316/47,623
  6. Step 6: Final answer
    x = 229,947.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.