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Finding the Third Proportional to 76,742 and 166,360

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Solution

The third proportional to 76,742 and 166,360 is: 360,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,742 : 166,360 = 166,360 : x
  2. Step 2: Convert to fraction form
    76,742/166,360 = 166,360/x
  3. Step 3: Cross multiply
    76,742x = 166,360 × 166,360
  4. Step 4: Simplify right side
    76,742x = 27,675,649,600
  5. Step 5: Solve for x
    x = 27,675,649,600/76,742
  6. Step 6: Final answer
    x = 360,632.37

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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.