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Finding the Third Proportional to 82,220.06 and 125,517.09

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Solution

The third proportional to 82,220.06 and 125,517.09 is: 191,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220.06 : 125,517.09 = 125,517.09 : x
  2. Step 2: Convert to fraction form
    82,220.06/125,517.09 = 125,517.09/x
  3. Step 3: Cross multiply
    82,220.06x = 125,517.09 × 125,517.09
  4. Step 4: Simplify right side
    82,220.06x = 15,754,540,823.45
  5. Step 5: Solve for x
    x = 15,754,540,823.45/82,220.06
  6. Step 6: Final answer
    x = 191,614.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.