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Finding the Third Proportional to 82,047.75 and 122,934.75

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Solution

The third proportional to 82,047.75 and 122,934.75 is: 184,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047.75 : 122,934.75 = 122,934.75 : x
  2. Step 2: Convert to fraction form
    82,047.75/122,934.75 = 122,934.75/x
  3. Step 3: Cross multiply
    82,047.75x = 122,934.75 × 122,934.75
  4. Step 4: Simplify right side
    82,047.75x = 15,112,952,757.56
  5. Step 5: Solve for x
    x = 15,112,952,757.56/82,047.75
  6. Step 6: Final answer
    x = 184,197.04

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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.