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Finding the Third Proportional to 54,144 and 82,656

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Solution

The third proportional to 54,144 and 82,656 is: 126,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,144 : 82,656 = 82,656 : x
  2. Step 2: Convert to fraction form
    54,144/82,656 = 82,656/x
  3. Step 3: Cross multiply
    54,144x = 82,656 × 82,656
  4. Step 4: Simplify right side
    54,144x = 6,832,014,336
  5. Step 5: Solve for x
    x = 6,832,014,336/54,144
  6. Step 6: Final answer
    x = 126,182.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.