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Finding the Third Proportional to 82,348.88 and 111,858.75

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Solution

The third proportional to 82,348.88 and 111,858.75 is: 151,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.88 : 111,858.75 = 111,858.75 : x
  2. Step 2: Convert to fraction form
    82,348.88/111,858.75 = 111,858.75/x
  3. Step 3: Cross multiply
    82,348.88x = 111,858.75 × 111,858.75
  4. Step 4: Simplify right side
    82,348.88x = 12,512,379,951.56
  5. Step 5: Solve for x
    x = 12,512,379,951.56/82,348.88
  6. Step 6: Final answer
    x = 151,943.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.