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Finding the Third Proportional to 48,620 and 106,238

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Solution

The third proportional to 48,620 and 106,238 is: 232,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,620 : 106,238 = 106,238 : x
  2. Step 2: Convert to fraction form
    48,620/106,238 = 106,238/x
  3. Step 3: Cross multiply
    48,620x = 106,238 × 106,238
  4. Step 4: Simplify right side
    48,620x = 11,286,512,644
  5. Step 5: Solve for x
    x = 11,286,512,644/48,620
  6. Step 6: Final answer
    x = 232,137.24

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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.