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Finding the Third Proportional to 76,967 and 162,272

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Solution

The third proportional to 76,967 and 162,272 is: 342,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967 : 162,272 = 162,272 : x
  2. Step 2: Convert to fraction form
    76,967/162,272 = 162,272/x
  3. Step 3: Cross multiply
    76,967x = 162,272 × 162,272
  4. Step 4: Simplify right side
    76,967x = 26,332,201,984
  5. Step 5: Solve for x
    x = 26,332,201,984/76,967
  6. Step 6: Final answer
    x = 342,123.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.