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Finding the Third Proportional to 48,671 and 103,615

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Solution

The third proportional to 48,671 and 103,615 is: 220,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,671 : 103,615 = 103,615 : x
  2. Step 2: Convert to fraction form
    48,671/103,615 = 103,615/x
  3. Step 3: Cross multiply
    48,671x = 103,615 × 103,615
  4. Step 4: Simplify right side
    48,671x = 10,736,068,225
  5. Step 5: Solve for x
    x = 10,736,068,225/48,671
  6. Step 6: Final answer
    x = 220,584.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.