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Finding the Third Proportional to 67,654 and 105,162

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Solution

The third proportional to 67,654 and 105,162 is: 163,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,654 : 105,162 = 105,162 : x
  2. Step 2: Convert to fraction form
    67,654/105,162 = 105,162/x
  3. Step 3: Cross multiply
    67,654x = 105,162 × 105,162
  4. Step 4: Simplify right side
    67,654x = 11,059,046,244
  5. Step 5: Solve for x
    x = 11,059,046,244/67,654
  6. Step 6: Final answer
    x = 163,464.78

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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.