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Finding the Third Proportional to 105,118 and 163,204

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Solution

The third proportional to 105,118 and 163,204 is: 253,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,118 : 163,204 = 163,204 : x
  2. Step 2: Convert to fraction form
    105,118/163,204 = 163,204/x
  3. Step 3: Cross multiply
    105,118x = 163,204 × 163,204
  4. Step 4: Simplify right side
    105,118x = 26,635,545,616
  5. Step 5: Solve for x
    x = 26,635,545,616/105,118
  6. Step 6: Final answer
    x = 253,387.10

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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.