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Finding the Third Proportional to 47,652 and 100,680

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Solution

The third proportional to 47,652 and 100,680 is: 212,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 100,680 = 100,680 : x
  2. Step 2: Convert to fraction form
    47,652/100,680 = 100,680/x
  3. Step 3: Cross multiply
    47,652x = 100,680 × 100,680
  4. Step 4: Simplify right side
    47,652x = 10,136,462,400
  5. Step 5: Solve for x
    x = 10,136,462,400/47,652
  6. Step 6: Final answer
    x = 212,718.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.