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Finding the Third Proportional to 82,764 and 131,517

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Solution

The third proportional to 82,764 and 131,517 is: 208,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764 : 131,517 = 131,517 : x
  2. Step 2: Convert to fraction form
    82,764/131,517 = 131,517/x
  3. Step 3: Cross multiply
    82,764x = 131,517 × 131,517
  4. Step 4: Simplify right side
    82,764x = 17,296,721,289
  5. Step 5: Solve for x
    x = 17,296,721,289/82,764
  6. Step 6: Final answer
    x = 208,988.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.