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Finding the Third Proportional to 76,268 and 116,672

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Solution

The third proportional to 76,268 and 116,672 is: 178,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,268 : 116,672 = 116,672 : x
  2. Step 2: Convert to fraction form
    76,268/116,672 = 116,672/x
  3. Step 3: Cross multiply
    76,268x = 116,672 × 116,672
  4. Step 4: Simplify right side
    76,268x = 13,612,355,584
  5. Step 5: Solve for x
    x = 13,612,355,584/76,268
  6. Step 6: Final answer
    x = 178,480.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.