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Finding the Third Proportional to 82,131.75 and 90,771.75

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Solution

The third proportional to 82,131.75 and 90,771.75 is: 100,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131.75 : 90,771.75 = 90,771.75 : x
  2. Step 2: Convert to fraction form
    82,131.75/90,771.75 = 90,771.75/x
  3. Step 3: Cross multiply
    82,131.75x = 90,771.75 × 90,771.75
  4. Step 4: Simplify right side
    82,131.75x = 8,239,510,598.06
  5. Step 5: Solve for x
    x = 8,239,510,598.06/82,131.75
  6. Step 6: Final answer
    x = 100,320.65

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.