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Finding the Third Proportional to 76,576 and 162,244

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Solution

The third proportional to 76,576 and 162,244 is: 343,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576 : 162,244 = 162,244 : x
  2. Step 2: Convert to fraction form
    76,576/162,244 = 162,244/x
  3. Step 3: Cross multiply
    76,576x = 162,244 × 162,244
  4. Step 4: Simplify right side
    76,576x = 26,323,115,536
  5. Step 5: Solve for x
    x = 26,323,115,536/76,576
  6. Step 6: Final answer
    x = 343,751.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.