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Finding the Third Proportional to 85,734 and 131,865

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Solution

The third proportional to 85,734 and 131,865 is: 202,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734 : 131,865 = 131,865 : x
  2. Step 2: Convert to fraction form
    85,734/131,865 = 131,865/x
  3. Step 3: Cross multiply
    85,734x = 131,865 × 131,865
  4. Step 4: Simplify right side
    85,734x = 17,388,378,225
  5. Step 5: Solve for x
    x = 17,388,378,225/85,734
  6. Step 6: Final answer
    x = 202,817.76

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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.