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Finding the Third Proportional to 93,976 and 127,568

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Solution

The third proportional to 93,976 and 127,568 is: 173,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,976 : 127,568 = 127,568 : x
  2. Step 2: Convert to fraction form
    93,976/127,568 = 127,568/x
  3. Step 3: Cross multiply
    93,976x = 127,568 × 127,568
  4. Step 4: Simplify right side
    93,976x = 16,273,594,624
  5. Step 5: Solve for x
    x = 16,273,594,624/93,976
  6. Step 6: Final answer
    x = 173,167.56

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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.