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Finding the Third Proportional to 85,682 and 131,787

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Solution

The third proportional to 85,682 and 131,787 is: 202,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,682 : 131,787 = 131,787 : x
  2. Step 2: Convert to fraction form
    85,682/131,787 = 131,787/x
  3. Step 3: Cross multiply
    85,682x = 131,787 × 131,787
  4. Step 4: Simplify right side
    85,682x = 17,367,813,369
  5. Step 5: Solve for x
    x = 17,367,813,369/85,682
  6. Step 6: Final answer
    x = 202,700.84

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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.