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Finding the Third Proportional to 93,608 and 127,027

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Solution

The third proportional to 93,608 and 127,027 is: 172,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,608 : 127,027 = 127,027 : x
  2. Step 2: Convert to fraction form
    93,608/127,027 = 127,027/x
  3. Step 3: Cross multiply
    93,608x = 127,027 × 127,027
  4. Step 4: Simplify right side
    93,608x = 16,135,858,729
  5. Step 5: Solve for x
    x = 16,135,858,729/93,608
  6. Step 6: Final answer
    x = 172,376.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.