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Finding the Third Proportional to 47,605 and 103,679

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Solution

The third proportional to 47,605 and 103,679 is: 225,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,605 : 103,679 = 103,679 : x
  2. Step 2: Convert to fraction form
    47,605/103,679 = 103,679/x
  3. Step 3: Cross multiply
    47,605x = 103,679 × 103,679
  4. Step 4: Simplify right side
    47,605x = 10,749,335,041
  5. Step 5: Solve for x
    x = 10,749,335,041/47,605
  6. Step 6: Final answer
    x = 225,802.65

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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.