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Finding the Third Proportional to 48,615 and 106,374

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Solution

The third proportional to 48,615 and 106,374 is: 232,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,615 : 106,374 = 106,374 : x
  2. Step 2: Convert to fraction form
    48,615/106,374 = 106,374/x
  3. Step 3: Cross multiply
    48,615x = 106,374 × 106,374
  4. Step 4: Simplify right side
    48,615x = 11,315,427,876
  5. Step 5: Solve for x
    x = 11,315,427,876/48,615
  6. Step 6: Final answer
    x = 232,755.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.