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Finding the Third Proportional to 54,664 and 82,165

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Solution

The third proportional to 54,664 and 82,165 is: 123,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,664 : 82,165 = 82,165 : x
  2. Step 2: Convert to fraction form
    54,664/82,165 = 82,165/x
  3. Step 3: Cross multiply
    54,664x = 82,165 × 82,165
  4. Step 4: Simplify right side
    54,664x = 6,751,087,225
  5. Step 5: Solve for x
    x = 6,751,087,225/54,664
  6. Step 6: Final answer
    x = 123,501.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.