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Finding the Third Proportional to 74,469 and 162,042

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Solution

The third proportional to 74,469 and 162,042 is: 352,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,469 : 162,042 = 162,042 : x
  2. Step 2: Convert to fraction form
    74,469/162,042 = 162,042/x
  3. Step 3: Cross multiply
    74,469x = 162,042 × 162,042
  4. Step 4: Simplify right side
    74,469x = 26,257,609,764
  5. Step 5: Solve for x
    x = 26,257,609,764/74,469
  6. Step 6: Final answer
    x = 352,597.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.