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Finding the Third Proportional to 82,778.63 and 179,961.75

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Solution

The third proportional to 82,778.63 and 179,961.75 is: 391,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,778.63 : 179,961.75 = 179,961.75 : x
  2. Step 2: Convert to fraction form
    82,778.63/179,961.75 = 179,961.75/x
  3. Step 3: Cross multiply
    82,778.63x = 179,961.75 × 179,961.75
  4. Step 4: Simplify right side
    82,778.63x = 32,386,231,463.06
  5. Step 5: Solve for x
    x = 32,386,231,463.06/82,778.63
  6. Step 6: Final answer
    x = 391,239.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.