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Finding the Third Proportional to 76,536 and 167,868

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Solution

The third proportional to 76,536 and 167,868 is: 368,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,536 : 167,868 = 167,868 : x
  2. Step 2: Convert to fraction form
    76,536/167,868 = 167,868/x
  3. Step 3: Cross multiply
    76,536x = 167,868 × 167,868
  4. Step 4: Simplify right side
    76,536x = 28,179,665,424
  5. Step 5: Solve for x
    x = 28,179,665,424/76,536
  6. Step 6: Final answer
    x = 368,188.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.