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Finding the Third Proportional to 76,636 and 167,066

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Solution

The third proportional to 76,636 and 167,066 is: 364,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,636 : 167,066 = 167,066 : x
  2. Step 2: Convert to fraction form
    76,636/167,066 = 167,066/x
  3. Step 3: Cross multiply
    76,636x = 167,066 × 167,066
  4. Step 4: Simplify right side
    76,636x = 27,911,048,356
  5. Step 5: Solve for x
    x = 27,911,048,356/76,636
  6. Step 6: Final answer
    x = 364,202.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.