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Finding the Third Proportional to 82,021.50 and 104,807.25

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Solution

The third proportional to 82,021.50 and 104,807.25 is: 133,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.50 : 104,807.25 = 104,807.25 : x
  2. Step 2: Convert to fraction form
    82,021.50/104,807.25 = 104,807.25/x
  3. Step 3: Cross multiply
    82,021.50x = 104,807.25 × 104,807.25
  4. Step 4: Simplify right side
    82,021.50x = 10,984,559,652.56
  5. Step 5: Solve for x
    x = 10,984,559,652.56/82,021.50
  6. Step 6: Final answer
    x = 133,922.93

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.