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Finding the Third Proportional to 116,204 and 163,634

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Solution

The third proportional to 116,204 and 163,634 is: 230,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204 : 163,634 = 163,634 : x
  2. Step 2: Convert to fraction form
    116,204/163,634 = 163,634/x
  3. Step 3: Cross multiply
    116,204x = 163,634 × 163,634
  4. Step 4: Simplify right side
    116,204x = 26,776,085,956
  5. Step 5: Solve for x
    x = 26,776,085,956/116,204
  6. Step 6: Final answer
    x = 230,423.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.