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Finding the Third Proportional to 47,604 and 103,680

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Solution

The third proportional to 47,604 and 103,680 is: 225,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,604 : 103,680 = 103,680 : x
  2. Step 2: Convert to fraction form
    47,604/103,680 = 103,680/x
  3. Step 3: Cross multiply
    47,604x = 103,680 × 103,680
  4. Step 4: Simplify right side
    47,604x = 10,749,542,400
  5. Step 5: Solve for x
    x = 10,749,542,400/47,604
  6. Step 6: Final answer
    x = 225,811.75

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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.