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Finding the Third Proportional to 93,684 and 135,420

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Solution

The third proportional to 93,684 and 135,420 is: 195,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,684 : 135,420 = 135,420 : x
  2. Step 2: Convert to fraction form
    93,684/135,420 = 135,420/x
  3. Step 3: Cross multiply
    93,684x = 135,420 × 135,420
  4. Step 4: Simplify right side
    93,684x = 18,338,576,400
  5. Step 5: Solve for x
    x = 18,338,576,400/93,684
  6. Step 6: Final answer
    x = 195,749.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.