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Finding the Third Proportional to 82,685 and 131,099

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Solution

The third proportional to 82,685 and 131,099 is: 207,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,685 : 131,099 = 131,099 : x
  2. Step 2: Convert to fraction form
    82,685/131,099 = 131,099/x
  3. Step 3: Cross multiply
    82,685x = 131,099 × 131,099
  4. Step 4: Simplify right side
    82,685x = 17,186,947,801
  5. Step 5: Solve for x
    x = 17,186,947,801/82,685
  6. Step 6: Final answer
    x = 207,860.53

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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.