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Finding the Third Proportional to 37,680 and 81,168

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Solution

The third proportional to 37,680 and 81,168 is: 174,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680 : 81,168 = 81,168 : x
  2. Step 2: Convert to fraction form
    37,680/81,168 = 81,168/x
  3. Step 3: Cross multiply
    37,680x = 81,168 × 81,168
  4. Step 4: Simplify right side
    37,680x = 6,588,244,224
  5. Step 5: Solve for x
    x = 6,588,244,224/37,680
  6. Step 6: Final answer
    x = 174,847.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.