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Finding the Third Proportional to 76,716 and 167,672

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Solution

The third proportional to 76,716 and 167,672 is: 366,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716 : 167,672 = 167,672 : x
  2. Step 2: Convert to fraction form
    76,716/167,672 = 167,672/x
  3. Step 3: Cross multiply
    76,716x = 167,672 × 167,672
  4. Step 4: Simplify right side
    76,716x = 28,113,899,584
  5. Step 5: Solve for x
    x = 28,113,899,584/76,716
  6. Step 6: Final answer
    x = 366,467.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.