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Finding the Third Proportional to 76,672 and 165,008

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Solution

The third proportional to 76,672 and 165,008 is: 355,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,672 : 165,008 = 165,008 : x
  2. Step 2: Convert to fraction form
    76,672/165,008 = 165,008/x
  3. Step 3: Cross multiply
    76,672x = 165,008 × 165,008
  4. Step 4: Simplify right side
    76,672x = 27,227,640,064
  5. Step 5: Solve for x
    x = 27,227,640,064/76,672
  6. Step 6: Final answer
    x = 355,118.43

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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.