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Finding the Third Proportional to 76,714 and 167,774

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Solution

The third proportional to 76,714 and 167,774 is: 366,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,714 : 167,774 = 167,774 : x
  2. Step 2: Convert to fraction form
    76,714/167,774 = 167,774/x
  3. Step 3: Cross multiply
    76,714x = 167,774 × 167,774
  4. Step 4: Simplify right side
    76,714x = 28,148,115,076
  5. Step 5: Solve for x
    x = 28,148,115,076/76,714
  6. Step 6: Final answer
    x = 366,922.79

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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.