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Finding the Third Proportional to 82,777.50 and 173,049.75

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Solution

The third proportional to 82,777.50 and 173,049.75 is: 361,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777.50 : 173,049.75 = 173,049.75 : x
  2. Step 2: Convert to fraction form
    82,777.50/173,049.75 = 173,049.75/x
  3. Step 3: Cross multiply
    82,777.50x = 173,049.75 × 173,049.75
  4. Step 4: Simplify right side
    82,777.50x = 29,946,215,975.06
  5. Step 5: Solve for x
    x = 29,946,215,975.06/82,777.50
  6. Step 6: Final answer
    x = 361,767.58

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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.