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Finding the Third Proportional to 76,670 and 166,636

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Solution

The third proportional to 76,670 and 166,636 is: 362,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670 : 166,636 = 166,636 : x
  2. Step 2: Convert to fraction form
    76,670/166,636 = 166,636/x
  3. Step 3: Cross multiply
    76,670x = 166,636 × 166,636
  4. Step 4: Simplify right side
    76,670x = 27,767,556,496
  5. Step 5: Solve for x
    x = 27,767,556,496/76,670
  6. Step 6: Final answer
    x = 362,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.