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Finding the Third Proportional to 82,027.69 and 173,805.75

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Solution

The third proportional to 82,027.69 and 173,805.75 is: 368,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027.69 : 173,805.75 = 173,805.75 : x
  2. Step 2: Convert to fraction form
    82,027.69/173,805.75 = 173,805.75/x
  3. Step 3: Cross multiply
    82,027.69x = 173,805.75 × 173,805.75
  4. Step 4: Simplify right side
    82,027.69x = 30,208,438,733.06
  5. Step 5: Solve for x
    x = 30,208,438,733.06/82,027.69
  6. Step 6: Final answer
    x = 368,271.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.