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Finding the Third Proportional to 82,777.78 and 173,050.59

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Solution

The third proportional to 82,777.78 and 173,050.59 is: 361,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.78 : 173,050.59 = 173,050.59 : x
  2. Step 2: Convert to fraction form
    82,777.78/173,050.59 = 173,050.59/x
  3. Step 3: Cross multiply
    82,777.78x = 173,050.59 × 173,050.59
  4. Step 4: Simplify right side
    82,777.78x = 29,946,507,997.23
  5. Step 5: Solve for x
    x = 29,946,507,997.23/82,777.78
  6. Step 6: Final answer
    x = 361,769.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.