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Finding the Third Proportional to 142,601 and 200,599

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Solution

The third proportional to 142,601 and 200,599 is: 282,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,601 : 200,599 = 200,599 : x
  2. Step 2: Convert to fraction form
    142,601/200,599 = 200,599/x
  3. Step 3: Cross multiply
    142,601x = 200,599 × 200,599
  4. Step 4: Simplify right side
    142,601x = 40,239,958,801
  5. Step 5: Solve for x
    x = 40,239,958,801/142,601
  6. Step 6: Final answer
    x = 282,185.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.