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Finding the Third Proportional to 62,834 and 134,766

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Solution

The third proportional to 62,834 and 134,766 is: 289,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,834 : 134,766 = 134,766 : x
  2. Step 2: Convert to fraction form
    62,834/134,766 = 134,766/x
  3. Step 3: Cross multiply
    62,834x = 134,766 × 134,766
  4. Step 4: Simplify right side
    62,834x = 18,161,874,756
  5. Step 5: Solve for x
    x = 18,161,874,756/62,834
  6. Step 6: Final answer
    x = 289,045.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.