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Finding the Third Proportional to 93,960 and 195,672

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Solution

The third proportional to 93,960 and 195,672 is: 407,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,960 : 195,672 = 195,672 : x
  2. Step 2: Convert to fraction form
    93,960/195,672 = 195,672/x
  3. Step 3: Cross multiply
    93,960x = 195,672 × 195,672
  4. Step 4: Simplify right side
    93,960x = 38,287,531,584
  5. Step 5: Solve for x
    x = 38,287,531,584/93,960
  6. Step 6: Final answer
    x = 407,487.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.