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Finding the Third Proportional to 105,107 and 163,198

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Solution

The third proportional to 105,107 and 163,198 is: 253,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107 : 163,198 = 163,198 : x
  2. Step 2: Convert to fraction form
    105,107/163,198 = 163,198/x
  3. Step 3: Cross multiply
    105,107x = 163,198 × 163,198
  4. Step 4: Simplify right side
    105,107x = 26,633,587,204
  5. Step 5: Solve for x
    x = 26,633,587,204/105,107
  6. Step 6: Final answer
    x = 253,394.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.