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Finding the Third Proportional to 76,378 and 164,042

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Solution

The third proportional to 76,378 and 164,042 is: 352,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378 : 164,042 = 164,042 : x
  2. Step 2: Convert to fraction form
    76,378/164,042 = 164,042/x
  3. Step 3: Cross multiply
    76,378x = 164,042 × 164,042
  4. Step 4: Simplify right side
    76,378x = 26,909,777,764
  5. Step 5: Solve for x
    x = 26,909,777,764/76,378
  6. Step 6: Final answer
    x = 352,323.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.