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Finding the Third Proportional to 85,698 and 131,811

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Solution

The third proportional to 85,698 and 131,811 is: 202,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698 : 131,811 = 131,811 : x
  2. Step 2: Convert to fraction form
    85,698/131,811 = 131,811/x
  3. Step 3: Cross multiply
    85,698x = 131,811 × 131,811
  4. Step 4: Simplify right side
    85,698x = 17,374,139,721
  5. Step 5: Solve for x
    x = 17,374,139,721/85,698
  6. Step 6: Final answer
    x = 202,736.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.