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Finding the Third Proportional to 70,605 and 108,162

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Solution

The third proportional to 70,605 and 108,162 is: 165,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,605 : 108,162 = 108,162 : x
  2. Step 2: Convert to fraction form
    70,605/108,162 = 108,162/x
  3. Step 3: Cross multiply
    70,605x = 108,162 × 108,162
  4. Step 4: Simplify right side
    70,605x = 11,699,018,244
  5. Step 5: Solve for x
    x = 11,699,018,244/70,605
  6. Step 6: Final answer
    x = 165,696.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.