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Finding the Third Proportional to 76,673 and 162,458

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Solution

The third proportional to 76,673 and 162,458 is: 344,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,673 : 162,458 = 162,458 : x
  2. Step 2: Convert to fraction form
    76,673/162,458 = 162,458/x
  3. Step 3: Cross multiply
    76,673x = 162,458 × 162,458
  4. Step 4: Simplify right side
    76,673x = 26,392,601,764
  5. Step 5: Solve for x
    x = 26,392,601,764/76,673
  6. Step 6: Final answer
    x = 344,222.89

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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.