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Finding the Third Proportional to 48,186 and 102,204

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Solution

The third proportional to 48,186 and 102,204 is: 216,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,186 : 102,204 = 102,204 : x
  2. Step 2: Convert to fraction form
    48,186/102,204 = 102,204/x
  3. Step 3: Cross multiply
    48,186x = 102,204 × 102,204
  4. Step 4: Simplify right side
    48,186x = 10,445,657,616
  5. Step 5: Solve for x
    x = 10,445,657,616/48,186
  6. Step 6: Final answer
    x = 216,777.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.