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Finding the Third Proportional to 54,472 and 82,168

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Solution

The third proportional to 54,472 and 82,168 is: 123,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472 : 82,168 = 82,168 : x
  2. Step 2: Convert to fraction form
    54,472/82,168 = 82,168/x
  3. Step 3: Cross multiply
    54,472x = 82,168 × 82,168
  4. Step 4: Simplify right side
    54,472x = 6,751,580,224
  5. Step 5: Solve for x
    x = 6,751,580,224/54,472
  6. Step 6: Final answer
    x = 123,945.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.