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Finding the Third Proportional to 67,857 and 103,802

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Solution

The third proportional to 67,857 and 103,802 is: 158,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857 : 103,802 = 103,802 : x
  2. Step 2: Convert to fraction form
    67,857/103,802 = 103,802/x
  3. Step 3: Cross multiply
    67,857x = 103,802 × 103,802
  4. Step 4: Simplify right side
    67,857x = 10,774,855,204
  5. Step 5: Solve for x
    x = 10,774,855,204/67,857
  6. Step 6: Final answer
    x = 158,787.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.